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Finding the Fourth Proportional to 1,397.06, 2,092.87 and 778.88

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Solution

The fourth proportional to 1,397.06, 2,092.87 and 778.88 is: 1,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.06 : 2,092.87 = 778.88 : x
  2. Step 2: Convert to fraction form
    1,397.06/2,092.87 = 778.88/x
  3. Step 3: Cross multiply
    1,397.06x = 2,092.87 × 778.88
  4. Step 4: Simplify right side
    1,397.06x = 1,630,082.17
  5. Step 5: Solve for x
    x = 1,630,082.17/1,397.06
  6. Step 6: Final answer
    x = 1,166.80

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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.