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Finding the Fourth Proportional to 1,378.27, 1,902.23 and 788.69

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Solution

The fourth proportional to 1,378.27, 1,902.23 and 788.69 is: 1,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.27 : 1,902.23 = 788.69 : x
  2. Step 2: Convert to fraction form
    1,378.27/1,902.23 = 788.69/x
  3. Step 3: Cross multiply
    1,378.27x = 1,902.23 × 788.69
  4. Step 4: Simplify right side
    1,378.27x = 1,500,267.28
  5. Step 5: Solve for x
    x = 1,500,267.28/1,378.27
  6. Step 6: Final answer
    x = 1,088.52

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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.