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Finding the Fourth Proportional to 1,066.04, 1,471.26 and 600.29

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Solution

The fourth proportional to 1,066.04, 1,471.26 and 600.29 is: 828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.04 : 1,471.26 = 600.29 : x
  2. Step 2: Convert to fraction form
    1,066.04/1,471.26 = 600.29/x
  3. Step 3: Cross multiply
    1,066.04x = 1,471.26 × 600.29
  4. Step 4: Simplify right side
    1,066.04x = 883,175.31
  5. Step 5: Solve for x
    x = 883,175.31/1,066.04
  6. Step 6: Final answer
    x = 828.47

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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.