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Finding the Fourth Proportional to 746.68, 1,029.90 and 525.46

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Solution

The fourth proportional to 746.68, 1,029.90 and 525.46 is: 724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,029.90 = 525.46 : x
  2. Step 2: Convert to fraction form
    746.68/1,029.90 = 525.46/x
  3. Step 3: Cross multiply
    746.68x = 1,029.90 × 525.46
  4. Step 4: Simplify right side
    746.68x = 541,171.25
  5. Step 5: Solve for x
    x = 541,171.25/746.68
  6. Step 6: Final answer
    x = 724.77

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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.