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Finding the Fourth Proportional to 1,377.90, 1,901.48 and 748.45

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Solution

The fourth proportional to 1,377.90, 1,901.48 and 748.45 is: 1,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.90 : 1,901.48 = 748.45 : x
  2. Step 2: Convert to fraction form
    1,377.90/1,901.48 = 748.45/x
  3. Step 3: Cross multiply
    1,377.90x = 1,901.48 × 748.45
  4. Step 4: Simplify right side
    1,377.90x = 1,423,162.71
  5. Step 5: Solve for x
    x = 1,423,162.71/1,377.90
  6. Step 6: Final answer
    x = 1,032.85

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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.