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Finding the Fourth Proportional to 950.64, 1,425.62 and 584.34

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Solution

The fourth proportional to 950.64, 1,425.62 and 584.34 is: 876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,425.62 = 584.34 : x
  2. Step 2: Convert to fraction form
    950.64/1,425.62 = 584.34/x
  3. Step 3: Cross multiply
    950.64x = 1,425.62 × 584.34
  4. Step 4: Simplify right side
    950.64x = 833,046.79
  5. Step 5: Solve for x
    x = 833,046.79/950.64
  6. Step 6: Final answer
    x = 876.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.