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Finding the Fourth Proportional to 589.85, 886.14 and 566.61

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Solution

The fourth proportional to 589.85, 886.14 and 566.61 is: 851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.85 : 886.14 = 566.61 : x
  2. Step 2: Convert to fraction form
    589.85/886.14 = 566.61/x
  3. Step 3: Cross multiply
    589.85x = 886.14 × 566.61
  4. Step 4: Simplify right side
    589.85x = 502,095.79
  5. Step 5: Solve for x
    x = 502,095.79/589.85
  6. Step 6: Final answer
    x = 851.23

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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.