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Finding the Fourth Proportional to 720.57, 994.37 and 524.91

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Solution

The fourth proportional to 720.57, 994.37 and 524.91 is: 724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.57 : 994.37 = 524.91 : x
  2. Step 2: Convert to fraction form
    720.57/994.37 = 524.91/x
  3. Step 3: Cross multiply
    720.57x = 994.37 × 524.91
  4. Step 4: Simplify right side
    720.57x = 521,952.13
  5. Step 5: Solve for x
    x = 521,952.13/720.57
  6. Step 6: Final answer
    x = 724.36

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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.