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Finding the Fourth Proportional to 1,377.76, 1,901.40 and 788.48

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Solution

The fourth proportional to 1,377.76, 1,901.40 and 788.48 is: 1,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.76 : 1,901.40 = 788.48 : x
  2. Step 2: Convert to fraction form
    1,377.76/1,901.40 = 788.48/x
  3. Step 3: Cross multiply
    1,377.76x = 1,901.40 × 788.48
  4. Step 4: Simplify right side
    1,377.76x = 1,499,215.87
  5. Step 5: Solve for x
    x = 1,499,215.87/1,377.76
  6. Step 6: Final answer
    x = 1,088.15

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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.