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Finding the Fourth Proportional to 959.73, 1,323.56 and 711.68

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Solution

The fourth proportional to 959.73, 1,323.56 and 711.68 is: 981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.73 : 1,323.56 = 711.68 : x
  2. Step 2: Convert to fraction form
    959.73/1,323.56 = 711.68/x
  3. Step 3: Cross multiply
    959.73x = 1,323.56 × 711.68
  4. Step 4: Simplify right side
    959.73x = 941,941.00
  5. Step 5: Solve for x
    x = 941,941.00/959.73
  6. Step 6: Final answer
    x = 981.46

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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.