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Finding the Fourth Proportional to 1,255.18, 1,880.04 and 766.75

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Solution

The fourth proportional to 1,255.18, 1,880.04 and 766.75 is: 1,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.18 : 1,880.04 = 766.75 : x
  2. Step 2: Convert to fraction form
    1,255.18/1,880.04 = 766.75/x
  3. Step 3: Cross multiply
    1,255.18x = 1,880.04 × 766.75
  4. Step 4: Simplify right side
    1,255.18x = 1,441,520.67
  5. Step 5: Solve for x
    x = 1,441,520.67/1,255.18
  6. Step 6: Final answer
    x = 1,148.46

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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.