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Finding the Fourth Proportional to 1,186.72, 1,778.49 and 570.11

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Solution

The fourth proportional to 1,186.72, 1,778.49 and 570.11 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.72 : 1,778.49 = 570.11 : x
  2. Step 2: Convert to fraction form
    1,186.72/1,778.49 = 570.11/x
  3. Step 3: Cross multiply
    1,186.72x = 1,778.49 × 570.11
  4. Step 4: Simplify right side
    1,186.72x = 1,013,926.04
  5. Step 5: Solve for x
    x = 1,013,926.04/1,186.72
  6. Step 6: Final answer
    x = 854.40

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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.