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Finding the Fourth Proportional to 1,159.53, 1,601.60 and 866.13

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Solution

The fourth proportional to 1,159.53, 1,601.60 and 866.13 is: 1,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.53 : 1,601.60 = 866.13 : x
  2. Step 2: Convert to fraction form
    1,159.53/1,601.60 = 866.13/x
  3. Step 3: Cross multiply
    1,159.53x = 1,601.60 × 866.13
  4. Step 4: Simplify right side
    1,159.53x = 1,387,189.48
  5. Step 5: Solve for x
    x = 1,387,189.48/1,159.53
  6. Step 6: Final answer
    x = 1,196.34

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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.