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Finding the Fourth Proportional to 974.57, 1,458.54 and 563.09

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Solution

The fourth proportional to 974.57, 1,458.54 and 563.09 is: 842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.57 : 1,458.54 = 563.09 : x
  2. Step 2: Convert to fraction form
    974.57/1,458.54 = 563.09/x
  3. Step 3: Cross multiply
    974.57x = 1,458.54 × 563.09
  4. Step 4: Simplify right side
    974.57x = 821,282.00
  5. Step 5: Solve for x
    x = 821,282.00/974.57
  6. Step 6: Final answer
    x = 842.72

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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.