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Finding the Fourth Proportional to 1,186.18, 1,636.20 and 713.76

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Solution

The fourth proportional to 1,186.18, 1,636.20 and 713.76 is: 984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.18 : 1,636.20 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,186.18/1,636.20 = 713.76/x
  3. Step 3: Cross multiply
    1,186.18x = 1,636.20 × 713.76
  4. Step 4: Simplify right side
    1,186.18x = 1,167,854.11
  5. Step 5: Solve for x
    x = 1,167,854.11/1,186.18
  6. Step 6: Final answer
    x = 984.55

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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.