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Finding the Fourth Proportional to 904.05, 1,247.27 and 563.24

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Solution

The fourth proportional to 904.05, 1,247.27 and 563.24 is: 777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.05 : 1,247.27 = 563.24 : x
  2. Step 2: Convert to fraction form
    904.05/1,247.27 = 563.24/x
  3. Step 3: Cross multiply
    904.05x = 1,247.27 × 563.24
  4. Step 4: Simplify right side
    904.05x = 702,512.66
  5. Step 5: Solve for x
    x = 702,512.66/904.05
  6. Step 6: Final answer
    x = 777.07

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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.