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Finding the Fourth Proportional to 959.14, 1,323.14 and 565.93

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Solution

The fourth proportional to 959.14, 1,323.14 and 565.93 is: 780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.14 : 1,323.14 = 565.93 : x
  2. Step 2: Convert to fraction form
    959.14/1,323.14 = 565.93/x
  3. Step 3: Cross multiply
    959.14x = 1,323.14 × 565.93
  4. Step 4: Simplify right side
    959.14x = 748,804.62
  5. Step 5: Solve for x
    x = 748,804.62/959.14
  6. Step 6: Final answer
    x = 780.71

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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.