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Finding the Fourth Proportional to 1,119.75, 1,545.98 and 727.35

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Solution

The fourth proportional to 1,119.75, 1,545.98 and 727.35 is: 1,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.75 : 1,545.98 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,119.75/1,545.98 = 727.35/x
  3. Step 3: Cross multiply
    1,119.75x = 1,545.98 × 727.35
  4. Step 4: Simplify right side
    1,119.75x = 1,124,468.55
  5. Step 5: Solve for x
    x = 1,124,468.55/1,119.75
  6. Step 6: Final answer
    x = 1,004.21

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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.