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Finding the Fourth Proportional to 1,285.50, 1,930.84 and 766.52

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Solution

The fourth proportional to 1,285.50, 1,930.84 and 766.52 is: 1,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.50 : 1,930.84 = 766.52 : x
  2. Step 2: Convert to fraction form
    1,285.50/1,930.84 = 766.52/x
  3. Step 3: Cross multiply
    1,285.50x = 1,930.84 × 766.52
  4. Step 4: Simplify right side
    1,285.50x = 1,480,015.91
  5. Step 5: Solve for x
    x = 1,480,015.91/1,285.50
  6. Step 6: Final answer
    x = 1,151.32

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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.