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Finding the Fourth Proportional to 752.09, 1,127.60 and 258.40

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Solution

The fourth proportional to 752.09, 1,127.60 and 258.40 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.09 : 1,127.60 = 258.40 : x
  2. Step 2: Convert to fraction form
    752.09/1,127.60 = 258.40/x
  3. Step 3: Cross multiply
    752.09x = 1,127.60 × 258.40
  4. Step 4: Simplify right side
    752.09x = 291,364.91
  5. Step 5: Solve for x
    x = 291,364.91/752.09
  6. Step 6: Final answer
    x = 387.41

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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.