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Finding the Fourth Proportional to 1,065.21, 1,469.97 and 593.09

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Solution

The fourth proportional to 1,065.21, 1,469.97 and 593.09 is: 818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.21 : 1,469.97 = 593.09 : x
  2. Step 2: Convert to fraction form
    1,065.21/1,469.97 = 593.09/x
  3. Step 3: Cross multiply
    1,065.21x = 1,469.97 × 593.09
  4. Step 4: Simplify right side
    1,065.21x = 871,817.16
  5. Step 5: Solve for x
    x = 871,817.16/1,065.21
  6. Step 6: Final answer
    x = 818.45

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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.