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Finding the Fourth Proportional to 1,139.46, 1,700.96 and 974.22

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Solution

The fourth proportional to 1,139.46, 1,700.96 and 974.22 is: 1,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.46 : 1,700.96 = 974.22 : x
  2. Step 2: Convert to fraction form
    1,139.46/1,700.96 = 974.22/x
  3. Step 3: Cross multiply
    1,139.46x = 1,700.96 × 974.22
  4. Step 4: Simplify right side
    1,139.46x = 1,657,104.38
  5. Step 5: Solve for x
    x = 1,657,104.38/1,139.46
  6. Step 6: Final answer
    x = 1,454.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.