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Finding the Fourth Proportional to 956.14, 1,433.02 and 407.68

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Solution

The fourth proportional to 956.14, 1,433.02 and 407.68 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,433.02 = 407.68 : x
  2. Step 2: Convert to fraction form
    956.14/1,433.02 = 407.68/x
  3. Step 3: Cross multiply
    956.14x = 1,433.02 × 407.68
  4. Step 4: Simplify right side
    956.14x = 584,216.67
  5. Step 5: Solve for x
    x = 584,216.67/956.14
  6. Step 6: Final answer
    x = 611.01

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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.