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Finding the Fourth Proportional to 956.69, 1,435.11 and 494.18

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Solution

The fourth proportional to 956.69, 1,435.11 and 494.18 is: 741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.69 : 1,435.11 = 494.18 : x
  2. Step 2: Convert to fraction form
    956.69/1,435.11 = 494.18/x
  3. Step 3: Cross multiply
    956.69x = 1,435.11 × 494.18
  4. Step 4: Simplify right side
    956.69x = 709,206.25
  5. Step 5: Solve for x
    x = 709,206.25/956.69
  6. Step 6: Final answer
    x = 741.31

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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.