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Finding the Fourth Proportional to 1,319.95, 1,819.99 and 1,070.49

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Solution

The fourth proportional to 1,319.95, 1,819.99 and 1,070.49 is: 1,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.95 : 1,819.99 = 1,070.49 : x
  2. Step 2: Convert to fraction form
    1,319.95/1,819.99 = 1,070.49/x
  3. Step 3: Cross multiply
    1,319.95x = 1,819.99 × 1,070.49
  4. Step 4: Simplify right side
    1,319.95x = 1,948,287.15
  5. Step 5: Solve for x
    x = 1,948,287.15/1,319.95
  6. Step 6: Final answer
    x = 1,476.04

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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.