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Finding the Fourth Proportional to 1,377.28, 1,900.80 and 853.76

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Solution

The fourth proportional to 1,377.28, 1,900.80 and 853.76 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.28 : 1,900.80 = 853.76 : x
  2. Step 2: Convert to fraction form
    1,377.28/1,900.80 = 853.76/x
  3. Step 3: Cross multiply
    1,377.28x = 1,900.80 × 853.76
  4. Step 4: Simplify right side
    1,377.28x = 1,622,827.01
  5. Step 5: Solve for x
    x = 1,622,827.01/1,377.28
  6. Step 6: Final answer
    x = 1,178.28

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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.