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Finding the Fourth Proportional to 956.52, 1,319.76 and 723.24

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Solution

The fourth proportional to 956.52, 1,319.76 and 723.24 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.52 : 1,319.76 = 723.24 : x
  2. Step 2: Convert to fraction form
    956.52/1,319.76 = 723.24/x
  3. Step 3: Cross multiply
    956.52x = 1,319.76 × 723.24
  4. Step 4: Simplify right side
    956.52x = 954,503.22
  5. Step 5: Solve for x
    x = 954,503.22/956.52
  6. Step 6: Final answer
    x = 997.89

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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.