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Finding the Fourth Proportional to 960.33, 1,439.71 and 594.34

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Solution

The fourth proportional to 960.33, 1,439.71 and 594.34 is: 891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.33 : 1,439.71 = 594.34 : x
  2. Step 2: Convert to fraction form
    960.33/1,439.71 = 594.34/x
  3. Step 3: Cross multiply
    960.33x = 1,439.71 × 594.34
  4. Step 4: Simplify right side
    960.33x = 855,677.24
  5. Step 5: Solve for x
    x = 855,677.24/960.33
  6. Step 6: Final answer
    x = 891.02

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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.