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Finding the Fourth Proportional to 922.92, 1,384.10 and 460.42

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Solution

The fourth proportional to 922.92, 1,384.10 and 460.42 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.92 : 1,384.10 = 460.42 : x
  2. Step 2: Convert to fraction form
    922.92/1,384.10 = 460.42/x
  3. Step 3: Cross multiply
    922.92x = 1,384.10 × 460.42
  4. Step 4: Simplify right side
    922.92x = 637,267.32
  5. Step 5: Solve for x
    x = 637,267.32/922.92
  6. Step 6: Final answer
    x = 690.49

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Double scale
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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.