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Finding the Fourth Proportional to 1,139.59, 1,708.32 and 1,038.13

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Solution

The fourth proportional to 1,139.59, 1,708.32 and 1,038.13 is: 1,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.59 : 1,708.32 = 1,038.13 : x
  2. Step 2: Convert to fraction form
    1,139.59/1,708.32 = 1,038.13/x
  3. Step 3: Cross multiply
    1,139.59x = 1,708.32 × 1,038.13
  4. Step 4: Simplify right side
    1,139.59x = 1,773,458.24
  5. Step 5: Solve for x
    x = 1,773,458.24/1,139.59
  6. Step 6: Final answer
    x = 1,556.22

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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.