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Finding the Fourth Proportional to 1,139.49, 1,578.99 and 1,070.13

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Solution

The fourth proportional to 1,139.49, 1,578.99 and 1,070.13 is: 1,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.49 : 1,578.99 = 1,070.13 : x
  2. Step 2: Convert to fraction form
    1,139.49/1,578.99 = 1,070.13/x
  3. Step 3: Cross multiply
    1,139.49x = 1,578.99 × 1,070.13
  4. Step 4: Simplify right side
    1,139.49x = 1,689,724.57
  5. Step 5: Solve for x
    x = 1,689,724.57/1,139.49
  6. Step 6: Final answer
    x = 1,482.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.