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Finding the Fourth Proportional to 614.16, 922.04 and 589.20

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Solution

The fourth proportional to 614.16, 922.04 and 589.20 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 922.04 = 589.20 : x
  2. Step 2: Convert to fraction form
    614.16/922.04 = 589.20/x
  3. Step 3: Cross multiply
    614.16x = 922.04 × 589.20
  4. Step 4: Simplify right side
    614.16x = 543,265.97
  5. Step 5: Solve for x
    x = 543,265.97/614.16
  6. Step 6: Final answer
    x = 884.57

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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.