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Finding the Fourth Proportional to 1,156.71, 1,726.17 and 1,033.69

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Solution

The fourth proportional to 1,156.71, 1,726.17 and 1,033.69 is: 1,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.71 : 1,726.17 = 1,033.69 : x
  2. Step 2: Convert to fraction form
    1,156.71/1,726.17 = 1,033.69/x
  3. Step 3: Cross multiply
    1,156.71x = 1,726.17 × 1,033.69
  4. Step 4: Simplify right side
    1,156.71x = 1,784,324.67
  5. Step 5: Solve for x
    x = 1,784,324.67/1,156.71
  6. Step 6: Final answer
    x = 1,542.59

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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.