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Finding the Fourth Proportional to 1,378.30, 1,901.78 and 788.71

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Solution

The fourth proportional to 1,378.30, 1,901.78 and 788.71 is: 1,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.30 : 1,901.78 = 788.71 : x
  2. Step 2: Convert to fraction form
    1,378.30/1,901.78 = 788.71/x
  3. Step 3: Cross multiply
    1,378.30x = 1,901.78 × 788.71
  4. Step 4: Simplify right side
    1,378.30x = 1,499,952.90
  5. Step 5: Solve for x
    x = 1,499,952.90/1,378.30
  6. Step 6: Final answer
    x = 1,088.26

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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.