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Finding the Fourth Proportional to 718.08, 991.11 and 586.17

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Solution

The fourth proportional to 718.08, 991.11 and 586.17 is: 809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.08 : 991.11 = 586.17 : x
  2. Step 2: Convert to fraction form
    718.08/991.11 = 586.17/x
  3. Step 3: Cross multiply
    718.08x = 991.11 × 586.17
  4. Step 4: Simplify right side
    718.08x = 580,958.95
  5. Step 5: Solve for x
    x = 580,958.95/718.08
  6. Step 6: Final answer
    x = 809.04

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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.