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Finding the Fourth Proportional to 752.89, 1,127.22 and 569.71

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Solution

The fourth proportional to 752.89, 1,127.22 and 569.71 is: 852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,127.22 = 569.71 : x
  2. Step 2: Convert to fraction form
    752.89/1,127.22 = 569.71/x
  3. Step 3: Cross multiply
    752.89x = 1,127.22 × 569.71
  4. Step 4: Simplify right side
    752.89x = 642,188.51
  5. Step 5: Solve for x
    x = 642,188.51/752.89
  6. Step 6: Final answer
    x = 852.96

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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.