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Finding the Fourth Proportional to 1,065.97, 1,471.06 and 593.84

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Solution

The fourth proportional to 1,065.97, 1,471.06 and 593.84 is: 819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.97 : 1,471.06 = 593.84 : x
  2. Step 2: Convert to fraction form
    1,065.97/1,471.06 = 593.84/x
  3. Step 3: Cross multiply
    1,065.97x = 1,471.06 × 593.84
  4. Step 4: Simplify right side
    1,065.97x = 873,574.27
  5. Step 5: Solve for x
    x = 873,574.27/1,065.97
  6. Step 6: Final answer
    x = 819.51

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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.