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Finding the Fourth Proportional to 1,107.18, 1,658.91 and 780.96

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Solution

The fourth proportional to 1,107.18, 1,658.91 and 780.96 is: 1,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.18 : 1,658.91 = 780.96 : x
  2. Step 2: Convert to fraction form
    1,107.18/1,658.91 = 780.96/x
  3. Step 3: Cross multiply
    1,107.18x = 1,658.91 × 780.96
  4. Step 4: Simplify right side
    1,107.18x = 1,295,542.35
  5. Step 5: Solve for x
    x = 1,295,542.35/1,107.18
  6. Step 6: Final answer
    x = 1,170.13

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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.