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Finding the Fourth Proportional to 1,136.88, 1,569.56 and 870.84

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Solution

The fourth proportional to 1,136.88, 1,569.56 and 870.84 is: 1,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.88 : 1,569.56 = 870.84 : x
  2. Step 2: Convert to fraction form
    1,136.88/1,569.56 = 870.84/x
  3. Step 3: Cross multiply
    1,136.88x = 1,569.56 × 870.84
  4. Step 4: Simplify right side
    1,136.88x = 1,366,831.28
  5. Step 5: Solve for x
    x = 1,366,831.28/1,136.88
  6. Step 6: Final answer
    x = 1,202.27

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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.