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Finding the Fourth Proportional to 956.57, 1,433.68 and 407.59

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Solution

The fourth proportional to 956.57, 1,433.68 and 407.59 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.57 : 1,433.68 = 407.59 : x
  2. Step 2: Convert to fraction form
    956.57/1,433.68 = 407.59/x
  3. Step 3: Cross multiply
    956.57x = 1,433.68 × 407.59
  4. Step 4: Simplify right side
    956.57x = 584,349.03
  5. Step 5: Solve for x
    x = 584,349.03/956.57
  6. Step 6: Final answer
    x = 610.88

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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.