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Finding the Fourth Proportional to 959.83, 1,438.99 and 882.95

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Solution

The fourth proportional to 959.83, 1,438.99 and 882.95 is: 1,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.83 : 1,438.99 = 882.95 : x
  2. Step 2: Convert to fraction form
    959.83/1,438.99 = 882.95/x
  3. Step 3: Cross multiply
    959.83x = 1,438.99 × 882.95
  4. Step 4: Simplify right side
    959.83x = 1,270,546.82
  5. Step 5: Solve for x
    x = 1,270,546.82/959.83
  6. Step 6: Final answer
    x = 1,323.72

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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.