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Finding the Fourth Proportional to 1,065.14, 1,469.77 and 593.01

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Solution

The fourth proportional to 1,065.14, 1,469.77 and 593.01 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.14 : 1,469.77 = 593.01 : x
  2. Step 2: Convert to fraction form
    1,065.14/1,469.77 = 593.01/x
  3. Step 3: Cross multiply
    1,065.14x = 1,469.77 × 593.01
  4. Step 4: Simplify right side
    1,065.14x = 871,588.31
  5. Step 5: Solve for x
    x = 871,588.31/1,065.14
  6. Step 6: Final answer
    x = 818.29

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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.