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Finding the Fourth Proportional to 873.52, 1,205.22 and 563.20

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Solution

The fourth proportional to 873.52, 1,205.22 and 563.20 is: 777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.52 : 1,205.22 = 563.20 : x
  2. Step 2: Convert to fraction form
    873.52/1,205.22 = 563.20/x
  3. Step 3: Cross multiply
    873.52x = 1,205.22 × 563.20
  4. Step 4: Simplify right side
    873.52x = 678,779.90
  5. Step 5: Solve for x
    x = 678,779.90/873.52
  6. Step 6: Final answer
    x = 777.06

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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.