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Finding the Fourth Proportional to 960, 1,438.47 and 410.91

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Solution

The fourth proportional to 960, 1,438.47 and 410.91 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,438.47 = 410.91 : x
  2. Step 2: Convert to fraction form
    960/1,438.47 = 410.91/x
  3. Step 3: Cross multiply
    960x = 1,438.47 × 410.91
  4. Step 4: Simplify right side
    960x = 591,081.71
  5. Step 5: Solve for x
    x = 591,081.71/960
  6. Step 6: Final answer
    x = 615.71

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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.