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Finding the Fourth Proportional to 1,378.18, 1,902.02 and 788.80

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Solution

The fourth proportional to 1,378.18, 1,902.02 and 788.80 is: 1,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.18 : 1,902.02 = 788.80 : x
  2. Step 2: Convert to fraction form
    1,378.18/1,902.02 = 788.80/x
  3. Step 3: Cross multiply
    1,378.18x = 1,902.02 × 788.80
  4. Step 4: Simplify right side
    1,378.18x = 1,500,313.38
  5. Step 5: Solve for x
    x = 1,500,313.38/1,378.18
  6. Step 6: Final answer
    x = 1,088.62

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Why These Related Problems?

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