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Finding the Fourth Proportional to 614.20, 919.70 and 585.40

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Solution

The fourth proportional to 614.20, 919.70 and 585.40 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 919.70 = 585.40 : x
  2. Step 2: Convert to fraction form
    614.20/919.70 = 585.40/x
  3. Step 3: Cross multiply
    614.20x = 919.70 × 585.40
  4. Step 4: Simplify right side
    614.20x = 538,392.38
  5. Step 5: Solve for x
    x = 538,392.38/614.20
  6. Step 6: Final answer
    x = 876.58

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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.