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Finding the Fourth Proportional to 1,065.16, 1,469.82 and 593.08

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Solution

The fourth proportional to 1,065.16, 1,469.82 and 593.08 is: 818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.16 : 1,469.82 = 593.08 : x
  2. Step 2: Convert to fraction form
    1,065.16/1,469.82 = 593.08/x
  3. Step 3: Cross multiply
    1,065.16x = 1,469.82 × 593.08
  4. Step 4: Simplify right side
    1,065.16x = 871,720.85
  5. Step 5: Solve for x
    x = 871,720.85/1,065.16
  6. Step 6: Final answer
    x = 818.39

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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.