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Finding the Fourth Proportional to 815.60, 1,125.16 and 616.07

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Solution

The fourth proportional to 815.60, 1,125.16 and 616.07 is: 849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.60 : 1,125.16 = 616.07 : x
  2. Step 2: Convert to fraction form
    815.60/1,125.16 = 616.07/x
  3. Step 3: Cross multiply
    815.60x = 1,125.16 × 616.07
  4. Step 4: Simplify right side
    815.60x = 693,178.59
  5. Step 5: Solve for x
    x = 693,178.59/815.60
  6. Step 6: Final answer
    x = 849.90

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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.