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Finding the Fourth Proportional to 1,291.17, 1,937.66 and 770.85

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Solution

The fourth proportional to 1,291.17, 1,937.66 and 770.85 is: 1,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.17 : 1,937.66 = 770.85 : x
  2. Step 2: Convert to fraction form
    1,291.17/1,937.66 = 770.85/x
  3. Step 3: Cross multiply
    1,291.17x = 1,937.66 × 770.85
  4. Step 4: Simplify right side
    1,291.17x = 1,493,645.21
  5. Step 5: Solve for x
    x = 1,493,645.21/1,291.17
  6. Step 6: Final answer
    x = 1,156.82

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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.