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Finding the Fourth Proportional to 1,377.57, 1,901.16 and 788.15

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Solution

The fourth proportional to 1,377.57, 1,901.16 and 788.15 is: 1,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.57 : 1,901.16 = 788.15 : x
  2. Step 2: Convert to fraction form
    1,377.57/1,901.16 = 788.15/x
  3. Step 3: Cross multiply
    1,377.57x = 1,901.16 × 788.15
  4. Step 4: Simplify right side
    1,377.57x = 1,498,385.81
  5. Step 5: Solve for x
    x = 1,498,385.81/1,377.57
  6. Step 6: Final answer
    x = 1,087.70

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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.