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Finding the Fourth Proportional to 614.03, 922.19 and 582.17

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Solution

The fourth proportional to 614.03, 922.19 and 582.17 is: 874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.03 : 922.19 = 582.17 : x
  2. Step 2: Convert to fraction form
    614.03/922.19 = 582.17/x
  3. Step 3: Cross multiply
    614.03x = 922.19 × 582.17
  4. Step 4: Simplify right side
    614.03x = 536,863.83
  5. Step 5: Solve for x
    x = 536,863.83/614.03
  6. Step 6: Final answer
    x = 874.34

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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.