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Finding the Fourth Proportional to 585.34, 876.98 and 521.78

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Solution

The fourth proportional to 585.34, 876.98 and 521.78 is: 781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.34 : 876.98 = 521.78 : x
  2. Step 2: Convert to fraction form
    585.34/876.98 = 521.78/x
  3. Step 3: Cross multiply
    585.34x = 876.98 × 521.78
  4. Step 4: Simplify right side
    585.34x = 457,584.61
  5. Step 5: Solve for x
    x = 457,584.61/585.34
  6. Step 6: Final answer
    x = 781.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.