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Finding the Fourth Proportional to 1,141.83, 1,574.24 and 931.23

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Solution

The fourth proportional to 1,141.83, 1,574.24 and 931.23 is: 1,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.83 : 1,574.24 = 931.23 : x
  2. Step 2: Convert to fraction form
    1,141.83/1,574.24 = 931.23/x
  3. Step 3: Cross multiply
    1,141.83x = 1,574.24 × 931.23
  4. Step 4: Simplify right side
    1,141.83x = 1,465,974.86
  5. Step 5: Solve for x
    x = 1,465,974.86/1,141.83
  6. Step 6: Final answer
    x = 1,283.88

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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.