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Finding the Fourth Proportional to 956.86, 1,433.51 and 494.15

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Solution

The fourth proportional to 956.86, 1,433.51 and 494.15 is: 740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.86 : 1,433.51 = 494.15 : x
  2. Step 2: Convert to fraction form
    956.86/1,433.51 = 494.15/x
  3. Step 3: Cross multiply
    956.86x = 1,433.51 × 494.15
  4. Step 4: Simplify right side
    956.86x = 708,359.33
  5. Step 5: Solve for x
    x = 708,359.33/956.86
  6. Step 6: Final answer
    x = 740.30

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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.