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Finding the Fourth Proportional to 1,186.11, 1,780.31 and 570.24

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Solution

The fourth proportional to 1,186.11, 1,780.31 and 570.24 is: 855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.11 : 1,780.31 = 570.24 : x
  2. Step 2: Convert to fraction form
    1,186.11/1,780.31 = 570.24/x
  3. Step 3: Cross multiply
    1,186.11x = 1,780.31 × 570.24
  4. Step 4: Simplify right side
    1,186.11x = 1,015,205.40
  5. Step 5: Solve for x
    x = 1,015,205.40/1,186.11
  6. Step 6: Final answer
    x = 855.91

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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.