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Finding the Fourth Proportional to 767.02, 1,150.80 and 442.30

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Solution

The fourth proportional to 767.02, 1,150.80 and 442.30 is: 663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.02 : 1,150.80 = 442.30 : x
  2. Step 2: Convert to fraction form
    767.02/1,150.80 = 442.30/x
  3. Step 3: Cross multiply
    767.02x = 1,150.80 × 442.30
  4. Step 4: Simplify right side
    767.02x = 508,998.84
  5. Step 5: Solve for x
    x = 508,998.84/767.02
  6. Step 6: Final answer
    x = 663.61

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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.