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Finding the Fourth Proportional to 1,139.24, 1,701.78 and 954.71

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Solution

The fourth proportional to 1,139.24, 1,701.78 and 954.71 is: 1,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.24 : 1,701.78 = 954.71 : x
  2. Step 2: Convert to fraction form
    1,139.24/1,701.78 = 954.71/x
  3. Step 3: Cross multiply
    1,139.24x = 1,701.78 × 954.71
  4. Step 4: Simplify right side
    1,139.24x = 1,624,706.38
  5. Step 5: Solve for x
    x = 1,624,706.38/1,139.24
  6. Step 6: Final answer
    x = 1,426.13

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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.