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Finding the Fourth Proportional to 1,378.90, 1,902.72 and 819.39

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Solution

The fourth proportional to 1,378.90, 1,902.72 and 819.39 is: 1,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.90 : 1,902.72 = 819.39 : x
  2. Step 2: Convert to fraction form
    1,378.90/1,902.72 = 819.39/x
  3. Step 3: Cross multiply
    1,378.90x = 1,902.72 × 819.39
  4. Step 4: Simplify right side
    1,378.90x = 1,559,079.95
  5. Step 5: Solve for x
    x = 1,559,079.95/1,378.90
  6. Step 6: Final answer
    x = 1,130.67

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1.5x scale

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.