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Finding the Fourth Proportional to 959.12, 1,323.84 and 699.08

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Solution

The fourth proportional to 959.12, 1,323.84 and 699.08 is: 964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.12 : 1,323.84 = 699.08 : x
  2. Step 2: Convert to fraction form
    959.12/1,323.84 = 699.08/x
  3. Step 3: Cross multiply
    959.12x = 1,323.84 × 699.08
  4. Step 4: Simplify right side
    959.12x = 925,470.07
  5. Step 5: Solve for x
    x = 925,470.07/959.12
  6. Step 6: Final answer
    x = 964.92

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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.