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Finding the Fourth Proportional to 526.76, 721.57 and 521

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Solution

The fourth proportional to 526.76, 721.57 and 521 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.76 : 721.57 = 521 : x
  2. Step 2: Convert to fraction form
    526.76/721.57 = 521/x
  3. Step 3: Cross multiply
    526.76x = 721.57 × 521
  4. Step 4: Simplify right side
    526.76x = 375,937.97
  5. Step 5: Solve for x
    x = 375,937.97/526.76
  6. Step 6: Final answer
    x = 713.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.