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Finding the Fourth Proportional to 959.10, 1,322.73 and 748.95

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Solution

The fourth proportional to 959.10, 1,322.73 and 748.95 is: 1,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.10 : 1,322.73 = 748.95 : x
  2. Step 2: Convert to fraction form
    959.10/1,322.73 = 748.95/x
  3. Step 3: Cross multiply
    959.10x = 1,322.73 × 748.95
  4. Step 4: Simplify right side
    959.10x = 990,658.63
  5. Step 5: Solve for x
    x = 990,658.63/959.10
  6. Step 6: Final answer
    x = 1,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.