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Finding the Fourth Proportional to 1,113.93, 1,537.16 and 616.53

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Solution

The fourth proportional to 1,113.93, 1,537.16 and 616.53 is: 850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.93 : 1,537.16 = 616.53 : x
  2. Step 2: Convert to fraction form
    1,113.93/1,537.16 = 616.53/x
  3. Step 3: Cross multiply
    1,113.93x = 1,537.16 × 616.53
  4. Step 4: Simplify right side
    1,113.93x = 947,702.17
  5. Step 5: Solve for x
    x = 947,702.17/1,113.93
  6. Step 6: Final answer
    x = 850.77

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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.