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Finding the Fourth Proportional to 974.34, 1,460.73 and 563.01

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Solution

The fourth proportional to 974.34, 1,460.73 and 563.01 is: 844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.34 : 1,460.73 = 563.01 : x
  2. Step 2: Convert to fraction form
    974.34/1,460.73 = 563.01/x
  3. Step 3: Cross multiply
    974.34x = 1,460.73 × 563.01
  4. Step 4: Simplify right side
    974.34x = 822,405.60
  5. Step 5: Solve for x
    x = 822,405.60/974.34
  6. Step 6: Final answer
    x = 844.06

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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.