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Finding the Fourth Proportional to 752.22, 1,127.93 and 289.58

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Solution

The fourth proportional to 752.22, 1,127.93 and 289.58 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.22 : 1,127.93 = 289.58 : x
  2. Step 2: Convert to fraction form
    752.22/1,127.93 = 289.58/x
  3. Step 3: Cross multiply
    752.22x = 1,127.93 × 289.58
  4. Step 4: Simplify right side
    752.22x = 326,624.20
  5. Step 5: Solve for x
    x = 326,624.20/752.22
  6. Step 6: Final answer
    x = 434.21

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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.