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Finding the Fourth Proportional to 956.12, 1,319.50 and 722.84

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Solution

The fourth proportional to 956.12, 1,319.50 and 722.84 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.12 : 1,319.50 = 722.84 : x
  2. Step 2: Convert to fraction form
    956.12/1,319.50 = 722.84/x
  3. Step 3: Cross multiply
    956.12x = 1,319.50 × 722.84
  4. Step 4: Simplify right side
    956.12x = 953,787.38
  5. Step 5: Solve for x
    x = 953,787.38/956.12
  6. Step 6: Final answer
    x = 997.56

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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.