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Finding the Fourth Proportional to 974.60, 1,459.98 and 563.48

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Solution

The fourth proportional to 974.60, 1,459.98 and 563.48 is: 844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.60 : 1,459.98 = 563.48 : x
  2. Step 2: Convert to fraction form
    974.60/1,459.98 = 563.48/x
  3. Step 3: Cross multiply
    974.60x = 1,459.98 × 563.48
  4. Step 4: Simplify right side
    974.60x = 822,669.53
  5. Step 5: Solve for x
    x = 822,669.53/974.60
  6. Step 6: Final answer
    x = 844.11

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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.