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Finding the Fourth Proportional to 586.92, 876.24 and 522.12

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Solution

The fourth proportional to 586.92, 876.24 and 522.12 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 876.24 = 522.12 : x
  2. Step 2: Convert to fraction form
    586.92/876.24 = 522.12/x
  3. Step 3: Cross multiply
    586.92x = 876.24 × 522.12
  4. Step 4: Simplify right side
    586.92x = 457,502.43
  5. Step 5: Solve for x
    x = 457,502.43/586.92
  6. Step 6: Final answer
    x = 779.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.