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Finding the Fourth Proportional to 950.65, 1,425.63 and 584.33

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Solution

The fourth proportional to 950.65, 1,425.63 and 584.33 is: 876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.65 : 1,425.63 = 584.33 : x
  2. Step 2: Convert to fraction form
    950.65/1,425.63 = 584.33/x
  3. Step 3: Cross multiply
    950.65x = 1,425.63 × 584.33
  4. Step 4: Simplify right side
    950.65x = 833,038.38
  5. Step 5: Solve for x
    x = 833,038.38/950.65
  6. Step 6: Final answer
    x = 876.28

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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.