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Finding the Fourth Proportional to 1,033.07, 1,545.71 and 687.24

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Solution

The fourth proportional to 1,033.07, 1,545.71 and 687.24 is: 1,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.07 : 1,545.71 = 687.24 : x
  2. Step 2: Convert to fraction form
    1,033.07/1,545.71 = 687.24/x
  3. Step 3: Cross multiply
    1,033.07x = 1,545.71 × 687.24
  4. Step 4: Simplify right side
    1,033.07x = 1,062,270.30
  5. Step 5: Solve for x
    x = 1,062,270.30/1,033.07
  6. Step 6: Final answer
    x = 1,028.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.