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Finding the Fourth Proportional to 715.53, 987.47 and 540.57

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Solution

The fourth proportional to 715.53, 987.47 and 540.57 is: 746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.53 : 987.47 = 540.57 : x
  2. Step 2: Convert to fraction form
    715.53/987.47 = 540.57/x
  3. Step 3: Cross multiply
    715.53x = 987.47 × 540.57
  4. Step 4: Simplify right side
    715.53x = 533,793.96
  5. Step 5: Solve for x
    x = 533,793.96/715.53
  6. Step 6: Final answer
    x = 746.01

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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.