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Finding the Fourth Proportional to 687.36, 948.23 and 451.22

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Solution

The fourth proportional to 687.36, 948.23 and 451.22 is: 622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.36 : 948.23 = 451.22 : x
  2. Step 2: Convert to fraction form
    687.36/948.23 = 451.22/x
  3. Step 3: Cross multiply
    687.36x = 948.23 × 451.22
  4. Step 4: Simplify right side
    687.36x = 427,853.34
  5. Step 5: Solve for x
    x = 427,853.34/687.36
  6. Step 6: Final answer
    x = 622.46

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.