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Finding the Fourth Proportional to 873, 1,205.46 and 563.04

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Solution

The fourth proportional to 873, 1,205.46 and 563.04 is: 777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,205.46 = 563.04 : x
  2. Step 2: Convert to fraction form
    873/1,205.46 = 563.04/x
  3. Step 3: Cross multiply
    873x = 1,205.46 × 563.04
  4. Step 4: Simplify right side
    873x = 678,722.20
  5. Step 5: Solve for x
    x = 678,722.20/873
  6. Step 6: Final answer
    x = 777.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.