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Finding the Fourth Proportional to 586.42, 878.07 and 512.61

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Solution

The fourth proportional to 586.42, 878.07 and 512.61 is: 767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.42 : 878.07 = 512.61 : x
  2. Step 2: Convert to fraction form
    586.42/878.07 = 512.61/x
  3. Step 3: Cross multiply
    586.42x = 878.07 × 512.61
  4. Step 4: Simplify right side
    586.42x = 450,107.46
  5. Step 5: Solve for x
    x = 450,107.46/586.42
  6. Step 6: Final answer
    x = 767.55

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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.