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Finding the Fourth Proportional to 1,377.35, 1,902.31 and 934.48

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Solution

The fourth proportional to 1,377.35, 1,902.31 and 934.48 is: 1,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.35 : 1,902.31 = 934.48 : x
  2. Step 2: Convert to fraction form
    1,377.35/1,902.31 = 934.48/x
  3. Step 3: Cross multiply
    1,377.35x = 1,902.31 × 934.48
  4. Step 4: Simplify right side
    1,377.35x = 1,777,670.65
  5. Step 5: Solve for x
    x = 1,777,670.65/1,377.35
  6. Step 6: Final answer
    x = 1,290.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.