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Finding the Fourth Proportional to 1,113.82, 1,537.18 and 616.48

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Solution

The fourth proportional to 1,113.82, 1,537.18 and 616.48 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.82 : 1,537.18 = 616.48 : x
  2. Step 2: Convert to fraction form
    1,113.82/1,537.18 = 616.48/x
  3. Step 3: Cross multiply
    1,113.82x = 1,537.18 × 616.48
  4. Step 4: Simplify right side
    1,113.82x = 947,635.34
  5. Step 5: Solve for x
    x = 947,635.34/1,113.82
  6. Step 6: Final answer
    x = 850.80

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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.