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Finding the Fourth Proportional to 1,120.92, 1,545.93 and 728.07

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Solution

The fourth proportional to 1,120.92, 1,545.93 and 728.07 is: 1,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.92 : 1,545.93 = 728.07 : x
  2. Step 2: Convert to fraction form
    1,120.92/1,545.93 = 728.07/x
  3. Step 3: Cross multiply
    1,120.92x = 1,545.93 × 728.07
  4. Step 4: Simplify right side
    1,120.92x = 1,125,545.26
  5. Step 5: Solve for x
    x = 1,125,545.26/1,120.92
  6. Step 6: Final answer
    x = 1,004.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.