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Finding the Fourth Proportional to 747.53, 1,030.93 and 523.34

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Solution

The fourth proportional to 747.53, 1,030.93 and 523.34 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.53 : 1,030.93 = 523.34 : x
  2. Step 2: Convert to fraction form
    747.53/1,030.93 = 523.34/x
  3. Step 3: Cross multiply
    747.53x = 1,030.93 × 523.34
  4. Step 4: Simplify right side
    747.53x = 539,528.18
  5. Step 5: Solve for x
    x = 539,528.18/747.53
  6. Step 6: Final answer
    x = 721.75

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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.