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Finding the Fourth Proportional to 747.87, 1,031.94 and 432.98

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Solution

The fourth proportional to 747.87, 1,031.94 and 432.98 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.87 : 1,031.94 = 432.98 : x
  2. Step 2: Convert to fraction form
    747.87/1,031.94 = 432.98/x
  3. Step 3: Cross multiply
    747.87x = 1,031.94 × 432.98
  4. Step 4: Simplify right side
    747.87x = 446,811.96
  5. Step 5: Solve for x
    x = 446,811.96/747.87
  6. Step 6: Final answer
    x = 597.45

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