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Finding the Fourth Proportional to 1,082.01, 1,492.77 and 616.01

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Solution

The fourth proportional to 1,082.01, 1,492.77 and 616.01 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.01 : 1,492.77 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,082.01/1,492.77 = 616.01/x
  3. Step 3: Cross multiply
    1,082.01x = 1,492.77 × 616.01
  4. Step 4: Simplify right side
    1,082.01x = 919,558.17
  5. Step 5: Solve for x
    x = 919,558.17/1,082.01
  6. Step 6: Final answer
    x = 849.86

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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.