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Finding the Fourth Proportional to 1,015.70, 1,522.76 and 614.68

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Solution

The fourth proportional to 1,015.70, 1,522.76 and 614.68 is: 921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.70 : 1,522.76 = 614.68 : x
  2. Step 2: Convert to fraction form
    1,015.70/1,522.76 = 614.68/x
  3. Step 3: Cross multiply
    1,015.70x = 1,522.76 × 614.68
  4. Step 4: Simplify right side
    1,015.70x = 936,010.12
  5. Step 5: Solve for x
    x = 936,010.12/1,015.70
  6. Step 6: Final answer
    x = 921.54

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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.