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Finding the Fourth Proportional to 1,139.55, 1,569.42 and 877.11

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Solution

The fourth proportional to 1,139.55, 1,569.42 and 877.11 is: 1,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.55 : 1,569.42 = 877.11 : x
  2. Step 2: Convert to fraction form
    1,139.55/1,569.42 = 877.11/x
  3. Step 3: Cross multiply
    1,139.55x = 1,569.42 × 877.11
  4. Step 4: Simplify right side
    1,139.55x = 1,376,553.98
  5. Step 5: Solve for x
    x = 1,376,553.98/1,139.55
  6. Step 6: Final answer
    x = 1,207.98

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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.