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Finding the Fourth Proportional to 752.22, 1,127.54 and 258.47

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Solution

The fourth proportional to 752.22, 1,127.54 and 258.47 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.22 : 1,127.54 = 258.47 : x
  2. Step 2: Convert to fraction form
    752.22/1,127.54 = 258.47/x
  3. Step 3: Cross multiply
    752.22x = 1,127.54 × 258.47
  4. Step 4: Simplify right side
    752.22x = 291,439.39
  5. Step 5: Solve for x
    x = 291,439.39/752.22
  6. Step 6: Final answer
    x = 387.44

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1.5x scale

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.