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Finding the Fourth Proportional to 746.71, 1,120.43 and 500.08

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Solution

The fourth proportional to 746.71, 1,120.43 and 500.08 is: 750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.71 : 1,120.43 = 500.08 : x
  2. Step 2: Convert to fraction form
    746.71/1,120.43 = 500.08/x
  3. Step 3: Cross multiply
    746.71x = 1,120.43 × 500.08
  4. Step 4: Simplify right side
    746.71x = 560,304.63
  5. Step 5: Solve for x
    x = 560,304.63/746.71
  6. Step 6: Final answer
    x = 750.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.