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Finding the Fourth Proportional to 750.80, 1,126.20 and 442.80

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Solution

The fourth proportional to 750.80, 1,126.20 and 442.80 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,126.20 = 442.80 : x
  2. Step 2: Convert to fraction form
    750.80/1,126.20 = 442.80/x
  3. Step 3: Cross multiply
    750.80x = 1,126.20 × 442.80
  4. Step 4: Simplify right side
    750.80x = 498,681.36
  5. Step 5: Solve for x
    x = 498,681.36/750.80
  6. Step 6: Final answer
    x = 664.20

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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.