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Finding the Fourth Proportional to 959.14, 1,323.26 and 627.76

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Solution

The fourth proportional to 959.14, 1,323.26 and 627.76 is: 866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.14 : 1,323.26 = 627.76 : x
  2. Step 2: Convert to fraction form
    959.14/1,323.26 = 627.76/x
  3. Step 3: Cross multiply
    959.14x = 1,323.26 × 627.76
  4. Step 4: Simplify right side
    959.14x = 830,687.96
  5. Step 5: Solve for x
    x = 830,687.96/959.14
  6. Step 6: Final answer
    x = 866.08

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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.