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Finding the Fourth Proportional to 1,250.96, 1,876.45 and 510.92

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Solution

The fourth proportional to 1,250.96, 1,876.45 and 510.92 is: 766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.96 : 1,876.45 = 510.92 : x
  2. Step 2: Convert to fraction form
    1,250.96/1,876.45 = 510.92/x
  3. Step 3: Cross multiply
    1,250.96x = 1,876.45 × 510.92
  4. Step 4: Simplify right side
    1,250.96x = 958,722.50
  5. Step 5: Solve for x
    x = 958,722.50/1,250.96
  6. Step 6: Final answer
    x = 766.39

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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.