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Finding the Fourth Proportional to 1,314.40, 1,970.99 and 766.74

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Solution

The fourth proportional to 1,314.40, 1,970.99 and 766.74 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.40 : 1,970.99 = 766.74 : x
  2. Step 2: Convert to fraction form
    1,314.40/1,970.99 = 766.74/x
  3. Step 3: Cross multiply
    1,314.40x = 1,970.99 × 766.74
  4. Step 4: Simplify right side
    1,314.40x = 1,511,236.87
  5. Step 5: Solve for x
    x = 1,511,236.87/1,314.40
  6. Step 6: Final answer
    x = 1,149.75

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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.