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Finding the Fourth Proportional to 974.41, 1,463.15 and 563.84

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Solution

The fourth proportional to 974.41, 1,463.15 and 563.84 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.41 : 1,463.15 = 563.84 : x
  2. Step 2: Convert to fraction form
    974.41/1,463.15 = 563.84/x
  3. Step 3: Cross multiply
    974.41x = 1,463.15 × 563.84
  4. Step 4: Simplify right side
    974.41x = 824,978.95
  5. Step 5: Solve for x
    x = 824,978.95/974.41
  6. Step 6: Final answer
    x = 846.64

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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.