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Finding the Fourth Proportional to 975.81, 1,463.76 and 456.29

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Solution

The fourth proportional to 975.81, 1,463.76 and 456.29 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.81 : 1,463.76 = 456.29 : x
  2. Step 2: Convert to fraction form
    975.81/1,463.76 = 456.29/x
  3. Step 3: Cross multiply
    975.81x = 1,463.76 × 456.29
  4. Step 4: Simplify right side
    975.81x = 667,891.73
  5. Step 5: Solve for x
    x = 667,891.73/975.81
  6. Step 6: Final answer
    x = 684.45

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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.