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Finding the Fourth Proportional to 1,314.56, 1,971.20 and 766.92

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Solution

The fourth proportional to 1,314.56, 1,971.20 and 766.92 is: 1,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.56 : 1,971.20 = 766.92 : x
  2. Step 2: Convert to fraction form
    1,314.56/1,971.20 = 766.92/x
  3. Step 3: Cross multiply
    1,314.56x = 1,971.20 × 766.92
  4. Step 4: Simplify right side
    1,314.56x = 1,511,752.70
  5. Step 5: Solve for x
    x = 1,511,752.70/1,314.56
  6. Step 6: Final answer
    x = 1,150.01

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Why These Related Problems?

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