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Finding the Fourth Proportional to 1,120.33, 1,545.99 and 727.57

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Solution

The fourth proportional to 1,120.33, 1,545.99 and 727.57 is: 1,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.33 : 1,545.99 = 727.57 : x
  2. Step 2: Convert to fraction form
    1,120.33/1,545.99 = 727.57/x
  3. Step 3: Cross multiply
    1,120.33x = 1,545.99 × 727.57
  4. Step 4: Simplify right side
    1,120.33x = 1,124,808.21
  5. Step 5: Solve for x
    x = 1,124,808.21/1,120.33
  6. Step 6: Final answer
    x = 1,004.00

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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.