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Finding the Fourth Proportional to 1,080.53, 1,491.46 and 1,002.62

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Solution

The fourth proportional to 1,080.53, 1,491.46 and 1,002.62 is: 1,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.53 : 1,491.46 = 1,002.62 : x
  2. Step 2: Convert to fraction form
    1,080.53/1,491.46 = 1,002.62/x
  3. Step 3: Cross multiply
    1,080.53x = 1,491.46 × 1,002.62
  4. Step 4: Simplify right side
    1,080.53x = 1,495,368.85
  5. Step 5: Solve for x
    x = 1,495,368.85/1,080.53
  6. Step 6: Final answer
    x = 1,383.92

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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.