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Finding the Fourth Proportional to 1,080.29, 1,618.32 and 560.63

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Solution

The fourth proportional to 1,080.29, 1,618.32 and 560.63 is: 839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.29 : 1,618.32 = 560.63 : x
  2. Step 2: Convert to fraction form
    1,080.29/1,618.32 = 560.63/x
  3. Step 3: Cross multiply
    1,080.29x = 1,618.32 × 560.63
  4. Step 4: Simplify right side
    1,080.29x = 907,275.94
  5. Step 5: Solve for x
    x = 907,275.94/1,080.29
  6. Step 6: Final answer
    x = 839.84

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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.