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Finding the Fourth Proportional to 956.65, 1,431.99 and 736.71

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Solution

The fourth proportional to 956.65, 1,431.99 and 736.71 is: 1,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.65 : 1,431.99 = 736.71 : x
  2. Step 2: Convert to fraction form
    956.65/1,431.99 = 736.71/x
  3. Step 3: Cross multiply
    956.65x = 1,431.99 × 736.71
  4. Step 4: Simplify right side
    956.65x = 1,054,955.98
  5. Step 5: Solve for x
    x = 1,054,955.98/956.65
  6. Step 6: Final answer
    x = 1,102.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.