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Finding the Fourth Proportional to 1,066.89, 1,471.46 and 735.24

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Solution

The fourth proportional to 1,066.89, 1,471.46 and 735.24 is: 1,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.89 : 1,471.46 = 735.24 : x
  2. Step 2: Convert to fraction form
    1,066.89/1,471.46 = 735.24/x
  3. Step 3: Cross multiply
    1,066.89x = 1,471.46 × 735.24
  4. Step 4: Simplify right side
    1,066.89x = 1,081,872.57
  5. Step 5: Solve for x
    x = 1,081,872.57/1,066.89
  6. Step 6: Final answer
    x = 1,014.04

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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.