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Finding the Fourth Proportional to 975.34, 1,463.21 and 585.73

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Solution

The fourth proportional to 975.34, 1,463.21 and 585.73 is: 878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.34 : 1,463.21 = 585.73 : x
  2. Step 2: Convert to fraction form
    975.34/1,463.21 = 585.73/x
  3. Step 3: Cross multiply
    975.34x = 1,463.21 × 585.73
  4. Step 4: Simplify right side
    975.34x = 857,035.75
  5. Step 5: Solve for x
    x = 857,035.75/975.34
  6. Step 6: Final answer
    x = 878.71

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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.