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Finding the Fourth Proportional to 767.76, 1,149.96 and 442.32

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Solution

The fourth proportional to 767.76, 1,149.96 and 442.32 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,149.96 = 442.32 : x
  2. Step 2: Convert to fraction form
    767.76/1,149.96 = 442.32/x
  3. Step 3: Cross multiply
    767.76x = 1,149.96 × 442.32
  4. Step 4: Simplify right side
    767.76x = 508,650.31
  5. Step 5: Solve for x
    x = 508,650.31/767.76
  6. Step 6: Final answer
    x = 662.51

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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.