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Finding the Fourth Proportional to 614.13, 919.05 and 578.59

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Solution

The fourth proportional to 614.13, 919.05 and 578.59 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 919.05 = 578.59 : x
  2. Step 2: Convert to fraction form
    614.13/919.05 = 578.59/x
  3. Step 3: Cross multiply
    614.13x = 919.05 × 578.59
  4. Step 4: Simplify right side
    614.13x = 531,753.14
  5. Step 5: Solve for x
    x = 531,753.14/614.13
  6. Step 6: Final answer
    x = 865.86

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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.