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Finding the Fourth Proportional to 746.81, 1,030.56 and 432.13

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Solution

The fourth proportional to 746.81, 1,030.56 and 432.13 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.81 : 1,030.56 = 432.13 : x
  2. Step 2: Convert to fraction form
    746.81/1,030.56 = 432.13/x
  3. Step 3: Cross multiply
    746.81x = 1,030.56 × 432.13
  4. Step 4: Simplify right side
    746.81x = 445,335.89
  5. Step 5: Solve for x
    x = 445,335.89/746.81
  6. Step 6: Final answer
    x = 596.32

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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.