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Finding the Fourth Proportional to 1,080.76, 1,491.04 and 614.76

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Solution

The fourth proportional to 1,080.76, 1,491.04 and 614.76 is: 848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.76 : 1,491.04 = 614.76 : x
  2. Step 2: Convert to fraction form
    1,080.76/1,491.04 = 614.76/x
  3. Step 3: Cross multiply
    1,080.76x = 1,491.04 × 614.76
  4. Step 4: Simplify right side
    1,080.76x = 916,631.75
  5. Step 5: Solve for x
    x = 916,631.75/1,080.76
  6. Step 6: Final answer
    x = 848.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.