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Finding the Fourth Proportional to 712.68, 983.55 and 432.93

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Solution

The fourth proportional to 712.68, 983.55 and 432.93 is: 597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.68 : 983.55 = 432.93 : x
  2. Step 2: Convert to fraction form
    712.68/983.55 = 432.93/x
  3. Step 3: Cross multiply
    712.68x = 983.55 × 432.93
  4. Step 4: Simplify right side
    712.68x = 425,808.30
  5. Step 5: Solve for x
    x = 425,808.30/712.68
  6. Step 6: Final answer
    x = 597.47

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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.