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Finding the Fourth Proportional to 1,142.10, 1,569.17 and 920.36

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Solution

The fourth proportional to 1,142.10, 1,569.17 and 920.36 is: 1,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,569.17 = 920.36 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,569.17 = 920.36/x
  3. Step 3: Cross multiply
    1,142.10x = 1,569.17 × 920.36
  4. Step 4: Simplify right side
    1,142.10x = 1,444,207.53
  5. Step 5: Solve for x
    x = 1,444,207.53/1,142.10
  6. Step 6: Final answer
    x = 1,264.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.