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Finding the Fourth Proportional to 959.48, 1,438.62 and 844.16

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Solution

The fourth proportional to 959.48, 1,438.62 and 844.16 is: 1,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.48 : 1,438.62 = 844.16 : x
  2. Step 2: Convert to fraction form
    959.48/1,438.62 = 844.16/x
  3. Step 3: Cross multiply
    959.48x = 1,438.62 × 844.16
  4. Step 4: Simplify right side
    959.48x = 1,214,425.46
  5. Step 5: Solve for x
    x = 1,214,425.46/959.48
  6. Step 6: Final answer
    x = 1,265.71

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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.