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Finding the Fourth Proportional to 1,377.97, 1,901.23 and 818.16

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Solution

The fourth proportional to 1,377.97, 1,901.23 and 818.16 is: 1,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.97 : 1,901.23 = 818.16 : x
  2. Step 2: Convert to fraction form
    1,377.97/1,901.23 = 818.16/x
  3. Step 3: Cross multiply
    1,377.97x = 1,901.23 × 818.16
  4. Step 4: Simplify right side
    1,377.97x = 1,555,510.34
  5. Step 5: Solve for x
    x = 1,555,510.34/1,377.97
  6. Step 6: Final answer
    x = 1,128.84

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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.