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Finding the Fourth Proportional to 1,113.13, 1,535.98 and 615.73

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Solution

The fourth proportional to 1,113.13, 1,535.98 and 615.73 is: 849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.13 : 1,535.98 = 615.73 : x
  2. Step 2: Convert to fraction form
    1,113.13/1,535.98 = 615.73/x
  3. Step 3: Cross multiply
    1,113.13x = 1,535.98 × 615.73
  4. Step 4: Simplify right side
    1,113.13x = 945,748.97
  5. Step 5: Solve for x
    x = 945,748.97/1,113.13
  6. Step 6: Final answer
    x = 849.63

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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.