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Finding the Fourth Proportional to 1,095.59, 1,642.17 and 517.25

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Solution

The fourth proportional to 1,095.59, 1,642.17 and 517.25 is: 775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.59 : 1,642.17 = 517.25 : x
  2. Step 2: Convert to fraction form
    1,095.59/1,642.17 = 517.25/x
  3. Step 3: Cross multiply
    1,095.59x = 1,642.17 × 517.25
  4. Step 4: Simplify right side
    1,095.59x = 849,412.43
  5. Step 5: Solve for x
    x = 849,412.43/1,095.59
  6. Step 6: Final answer
    x = 775.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.