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Finding the Fourth Proportional to 586.59, 809.11 and 566.54

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Solution

The fourth proportional to 586.59, 809.11 and 566.54 is: 781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.59 : 809.11 = 566.54 : x
  2. Step 2: Convert to fraction form
    586.59/809.11 = 566.54/x
  3. Step 3: Cross multiply
    586.59x = 809.11 × 566.54
  4. Step 4: Simplify right side
    586.59x = 458,399.02
  5. Step 5: Solve for x
    x = 458,399.02/586.59
  6. Step 6: Final answer
    x = 781.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.