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Finding the Fourth Proportional to 1,319.56, 1,981.16 and 670.74

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Solution

The fourth proportional to 1,319.56, 1,981.16 and 670.74 is: 1,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.56 : 1,981.16 = 670.74 : x
  2. Step 2: Convert to fraction form
    1,319.56/1,981.16 = 670.74/x
  3. Step 3: Cross multiply
    1,319.56x = 1,981.16 × 670.74
  4. Step 4: Simplify right side
    1,319.56x = 1,328,843.26
  5. Step 5: Solve for x
    x = 1,328,843.26/1,319.56
  6. Step 6: Final answer
    x = 1,007.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.