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Finding the Fourth Proportional to 956.54, 1,433.90 and 462.65

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Solution

The fourth proportional to 956.54, 1,433.90 and 462.65 is: 693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.54 : 1,433.90 = 462.65 : x
  2. Step 2: Convert to fraction form
    956.54/1,433.90 = 462.65/x
  3. Step 3: Cross multiply
    956.54x = 1,433.90 × 462.65
  4. Step 4: Simplify right side
    956.54x = 663,387.82
  5. Step 5: Solve for x
    x = 663,387.82/956.54
  6. Step 6: Final answer
    x = 693.53

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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.