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Finding the Fourth Proportional to 922.49, 1,383.72 and 374.32

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Solution

The fourth proportional to 922.49, 1,383.72 and 374.32 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.49 : 1,383.72 = 374.32 : x
  2. Step 2: Convert to fraction form
    922.49/1,383.72 = 374.32/x
  3. Step 3: Cross multiply
    922.49x = 1,383.72 × 374.32
  4. Step 4: Simplify right side
    922.49x = 517,954.40
  5. Step 5: Solve for x
    x = 517,954.40/922.49
  6. Step 6: Final answer
    x = 561.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.