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Finding the Fourth Proportional to 1,066.24, 1,471.41 and 600.49

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Solution

The fourth proportional to 1,066.24, 1,471.41 and 600.49 is: 828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.24 : 1,471.41 = 600.49 : x
  2. Step 2: Convert to fraction form
    1,066.24/1,471.41 = 600.49/x
  3. Step 3: Cross multiply
    1,066.24x = 1,471.41 × 600.49
  4. Step 4: Simplify right side
    1,066.24x = 883,566.99
  5. Step 5: Solve for x
    x = 883,566.99/1,066.24
  6. Step 6: Final answer
    x = 828.68

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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.