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Finding the Fourth Proportional to 1,489.31, 2,233.35 and 564.70

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Solution

The fourth proportional to 1,489.31, 2,233.35 and 564.70 is: 846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.31 : 2,233.35 = 564.70 : x
  2. Step 2: Convert to fraction form
    1,489.31/2,233.35 = 564.70/x
  3. Step 3: Cross multiply
    1,489.31x = 2,233.35 × 564.70
  4. Step 4: Simplify right side
    1,489.31x = 1,261,172.75
  5. Step 5: Solve for x
    x = 1,261,172.75/1,489.31
  6. Step 6: Final answer
    x = 846.82

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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.