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Finding the Fourth Proportional to 1,113.86, 1,537.14 and 616.49

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Solution

The fourth proportional to 1,113.86, 1,537.14 and 616.49 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.86 : 1,537.14 = 616.49 : x
  2. Step 2: Convert to fraction form
    1,113.86/1,537.14 = 616.49/x
  3. Step 3: Cross multiply
    1,113.86x = 1,537.14 × 616.49
  4. Step 4: Simplify right side
    1,113.86x = 947,631.83
  5. Step 5: Solve for x
    x = 947,631.83/1,113.86
  6. Step 6: Final answer
    x = 850.76

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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.