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Finding the Fourth Proportional to 1,097.25, 1,646.61 and 520.17

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Solution

The fourth proportional to 1,097.25, 1,646.61 and 520.17 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.25 : 1,646.61 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,097.25/1,646.61 = 520.17/x
  3. Step 3: Cross multiply
    1,097.25x = 1,646.61 × 520.17
  4. Step 4: Simplify right side
    1,097.25x = 856,517.12
  5. Step 5: Solve for x
    x = 856,517.12/1,097.25
  6. Step 6: Final answer
    x = 780.60

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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.