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Finding the Fourth Proportional to 720.28, 992.89 and 521.02

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Solution

The fourth proportional to 720.28, 992.89 and 521.02 is: 718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.28 : 992.89 = 521.02 : x
  2. Step 2: Convert to fraction form
    720.28/992.89 = 521.02/x
  3. Step 3: Cross multiply
    720.28x = 992.89 × 521.02
  4. Step 4: Simplify right side
    720.28x = 517,315.55
  5. Step 5: Solve for x
    x = 517,315.55/720.28
  6. Step 6: Final answer
    x = 718.21

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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.