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Finding the Fourth Proportional to 1,377.34, 1,899.79 and 879.76

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Solution

The fourth proportional to 1,377.34, 1,899.79 and 879.76 is: 1,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.34 : 1,899.79 = 879.76 : x
  2. Step 2: Convert to fraction form
    1,377.34/1,899.79 = 879.76/x
  3. Step 3: Cross multiply
    1,377.34x = 1,899.79 × 879.76
  4. Step 4: Simplify right side
    1,377.34x = 1,671,355.60
  5. Step 5: Solve for x
    x = 1,671,355.60/1,377.34
  6. Step 6: Final answer
    x = 1,213.47

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