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Finding the Fourth Proportional to 586.68, 809.82 and 566.04

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Solution

The fourth proportional to 586.68, 809.82 and 566.04 is: 781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 809.82 = 566.04 : x
  2. Step 2: Convert to fraction form
    586.68/809.82 = 566.04/x
  3. Step 3: Cross multiply
    586.68x = 809.82 × 566.04
  4. Step 4: Simplify right side
    586.68x = 458,390.51
  5. Step 5: Solve for x
    x = 458,390.51/586.68
  6. Step 6: Final answer
    x = 781.33

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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.