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Finding the Fourth Proportional to 1,378.23, 1,902.12 and 788.95

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Solution

The fourth proportional to 1,378.23, 1,902.12 and 788.95 is: 1,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.23 : 1,902.12 = 788.95 : x
  2. Step 2: Convert to fraction form
    1,378.23/1,902.12 = 788.95/x
  3. Step 3: Cross multiply
    1,378.23x = 1,902.12 × 788.95
  4. Step 4: Simplify right side
    1,378.23x = 1,500,676.99
  5. Step 5: Solve for x
    x = 1,500,676.99/1,378.23
  6. Step 6: Final answer
    x = 1,088.85

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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.