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Finding the Fourth Proportional to 1,106.66, 1,658.17 and 781.35

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Solution

The fourth proportional to 1,106.66, 1,658.17 and 781.35 is: 1,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.66 : 1,658.17 = 781.35 : x
  2. Step 2: Convert to fraction form
    1,106.66/1,658.17 = 781.35/x
  3. Step 3: Cross multiply
    1,106.66x = 1,658.17 × 781.35
  4. Step 4: Simplify right side
    1,106.66x = 1,295,605.89
  5. Step 5: Solve for x
    x = 1,295,605.89/1,106.66
  6. Step 6: Final answer
    x = 1,170.73

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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.