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Finding the Fourth Proportional to 1,186.14, 1,780.44 and 862.14

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Solution

The fourth proportional to 1,186.14, 1,780.44 and 862.14 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.14 : 1,780.44 = 862.14 : x
  2. Step 2: Convert to fraction form
    1,186.14/1,780.44 = 862.14/x
  3. Step 3: Cross multiply
    1,186.14x = 1,780.44 × 862.14
  4. Step 4: Simplify right side
    1,186.14x = 1,534,988.54
  5. Step 5: Solve for x
    x = 1,534,988.54/1,186.14
  6. Step 6: Final answer
    x = 1,294.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.