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Finding the Fourth Proportional to 956.24, 1,435.69 and 494.36

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Solution

The fourth proportional to 956.24, 1,435.69 and 494.36 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.24 : 1,435.69 = 494.36 : x
  2. Step 2: Convert to fraction form
    956.24/1,435.69 = 494.36/x
  3. Step 3: Cross multiply
    956.24x = 1,435.69 × 494.36
  4. Step 4: Simplify right side
    956.24x = 709,747.71
  5. Step 5: Solve for x
    x = 709,747.71/956.24
  6. Step 6: Final answer
    x = 742.23

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