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Finding the Fourth Proportional to 751.60, 1,127.34 and 442.48

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Solution

The fourth proportional to 751.60, 1,127.34 and 442.48 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.60 : 1,127.34 = 442.48 : x
  2. Step 2: Convert to fraction form
    751.60/1,127.34 = 442.48/x
  3. Step 3: Cross multiply
    751.60x = 1,127.34 × 442.48
  4. Step 4: Simplify right side
    751.60x = 498,825.40
  5. Step 5: Solve for x
    x = 498,825.40/751.60
  6. Step 6: Final answer
    x = 663.68

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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.