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Finding the Fourth Proportional to 951.23, 1,423.93 and 580.02

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Solution

The fourth proportional to 951.23, 1,423.93 and 580.02 is: 868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.23 : 1,423.93 = 580.02 : x
  2. Step 2: Convert to fraction form
    951.23/1,423.93 = 580.02/x
  3. Step 3: Cross multiply
    951.23x = 1,423.93 × 580.02
  4. Step 4: Simplify right side
    951.23x = 825,907.88
  5. Step 5: Solve for x
    x = 825,907.88/951.23
  6. Step 6: Final answer
    x = 868.25

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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.