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Finding the Fourth Proportional to 1,377.89, 2,066.84 and 800.45

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Solution

The fourth proportional to 1,377.89, 2,066.84 and 800.45 is: 1,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.89 : 2,066.84 = 800.45 : x
  2. Step 2: Convert to fraction form
    1,377.89/2,066.84 = 800.45/x
  3. Step 3: Cross multiply
    1,377.89x = 2,066.84 × 800.45
  4. Step 4: Simplify right side
    1,377.89x = 1,654,398.08
  5. Step 5: Solve for x
    x = 1,654,398.08/1,377.89
  6. Step 6: Final answer
    x = 1,200.68

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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.