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Finding the Fourth Proportional to 956.68, 1,434.93 and 409.30

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Solution

The fourth proportional to 956.68, 1,434.93 and 409.30 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.68 : 1,434.93 = 409.30 : x
  2. Step 2: Convert to fraction form
    956.68/1,434.93 = 409.30/x
  3. Step 3: Cross multiply
    956.68x = 1,434.93 × 409.30
  4. Step 4: Simplify right side
    956.68x = 587,316.85
  5. Step 5: Solve for x
    x = 587,316.85/956.68
  6. Step 6: Final answer
    x = 613.91

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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.