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Finding the Fourth Proportional to 1,132.93, 1,564.16 and 713.86

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Solution

The fourth proportional to 1,132.93, 1,564.16 and 713.86 is: 985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.93 : 1,564.16 = 713.86 : x
  2. Step 2: Convert to fraction form
    1,132.93/1,564.16 = 713.86/x
  3. Step 3: Cross multiply
    1,132.93x = 1,564.16 × 713.86
  4. Step 4: Simplify right side
    1,132.93x = 1,116,591.26
  5. Step 5: Solve for x
    x = 1,116,591.26/1,132.93
  6. Step 6: Final answer
    x = 985.58

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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.