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Finding the Fourth Proportional to 1,257.92, 1,887.48 and 770.70

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Solution

The fourth proportional to 1,257.92, 1,887.48 and 770.70 is: 1,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.92 : 1,887.48 = 770.70 : x
  2. Step 2: Convert to fraction form
    1,257.92/1,887.48 = 770.70/x
  3. Step 3: Cross multiply
    1,257.92x = 1,887.48 × 770.70
  4. Step 4: Simplify right side
    1,257.92x = 1,454,680.84
  5. Step 5: Solve for x
    x = 1,454,680.84/1,257.92
  6. Step 6: Final answer
    x = 1,156.42

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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.