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Finding the Fourth Proportional to 731.03, 1,008.83 and 416.34

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Solution

The fourth proportional to 731.03, 1,008.83 and 416.34 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.03 : 1,008.83 = 416.34 : x
  2. Step 2: Convert to fraction form
    731.03/1,008.83 = 416.34/x
  3. Step 3: Cross multiply
    731.03x = 1,008.83 × 416.34
  4. Step 4: Simplify right side
    731.03x = 420,014.20
  5. Step 5: Solve for x
    x = 420,014.20/731.03
  6. Step 6: Final answer
    x = 574.56

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1.5x scale

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.