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Finding the Fourth Proportional to 526.82, 725.29 and 500.85

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Solution

The fourth proportional to 526.82, 725.29 and 500.85 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 725.29 = 500.85 : x
  2. Step 2: Convert to fraction form
    526.82/725.29 = 500.85/x
  3. Step 3: Cross multiply
    526.82x = 725.29 × 500.85
  4. Step 4: Simplify right side
    526.82x = 363,260.24
  5. Step 5: Solve for x
    x = 363,260.24/526.82
  6. Step 6: Final answer
    x = 689.53

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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.