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Finding the Fourth Proportional to 746.92, 1,030.98 and 432.46

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Solution

The fourth proportional to 746.92, 1,030.98 and 432.46 is: 596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,030.98 = 432.46 : x
  2. Step 2: Convert to fraction form
    746.92/1,030.98 = 432.46/x
  3. Step 3: Cross multiply
    746.92x = 1,030.98 × 432.46
  4. Step 4: Simplify right side
    746.92x = 445,857.61
  5. Step 5: Solve for x
    x = 445,857.61/746.92
  6. Step 6: Final answer
    x = 596.93

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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.