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Finding the Fourth Proportional to 1,258.10, 1,883.50 and 769.66

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Solution

The fourth proportional to 1,258.10, 1,883.50 and 769.66 is: 1,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.10 : 1,883.50 = 769.66 : x
  2. Step 2: Convert to fraction form
    1,258.10/1,883.50 = 769.66/x
  3. Step 3: Cross multiply
    1,258.10x = 1,883.50 × 769.66
  4. Step 4: Simplify right side
    1,258.10x = 1,449,654.61
  5. Step 5: Solve for x
    x = 1,449,654.61/1,258.10
  6. Step 6: Final answer
    x = 1,152.26

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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.