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Finding the Fourth Proportional to 950.09, 1,423.79 and 560.18

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Solution

The fourth proportional to 950.09, 1,423.79 and 560.18 is: 839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,423.79 = 560.18 : x
  2. Step 2: Convert to fraction form
    950.09/1,423.79 = 560.18/x
  3. Step 3: Cross multiply
    950.09x = 1,423.79 × 560.18
  4. Step 4: Simplify right side
    950.09x = 797,568.76
  5. Step 5: Solve for x
    x = 797,568.76/950.09
  6. Step 6: Final answer
    x = 839.47

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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.