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Finding the Fourth Proportional to 956.78, 1,435.33 and 494.43

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Solution

The fourth proportional to 956.78, 1,435.33 and 494.43 is: 741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.78 : 1,435.33 = 494.43 : x
  2. Step 2: Convert to fraction form
    956.78/1,435.33 = 494.43/x
  3. Step 3: Cross multiply
    956.78x = 1,435.33 × 494.43
  4. Step 4: Simplify right side
    956.78x = 709,663.04
  5. Step 5: Solve for x
    x = 709,663.04/956.78
  6. Step 6: Final answer
    x = 741.72

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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.