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Finding the Fourth Proportional to 959.09, 1,323.13 and 710.99

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Solution

The fourth proportional to 959.09, 1,323.13 and 710.99 is: 980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.09 : 1,323.13 = 710.99 : x
  2. Step 2: Convert to fraction form
    959.09/1,323.13 = 710.99/x
  3. Step 3: Cross multiply
    959.09x = 1,323.13 × 710.99
  4. Step 4: Simplify right side
    959.09x = 940,732.20
  5. Step 5: Solve for x
    x = 940,732.20/959.09
  6. Step 6: Final answer
    x = 980.86

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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.