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Finding the Fourth Proportional to 767.63, 1,149.60 and 442.31

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Solution

The fourth proportional to 767.63, 1,149.60 and 442.31 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.63 : 1,149.60 = 442.31 : x
  2. Step 2: Convert to fraction form
    767.63/1,149.60 = 442.31/x
  3. Step 3: Cross multiply
    767.63x = 1,149.60 × 442.31
  4. Step 4: Simplify right side
    767.63x = 508,473.83
  5. Step 5: Solve for x
    x = 508,473.83/767.63
  6. Step 6: Final answer
    x = 662.40

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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.