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Finding the Fourth Proportional to 1,065.20, 1,470.04 and 593.14

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Solution

The fourth proportional to 1,065.20, 1,470.04 and 593.14 is: 818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,470.04 = 593.14 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,470.04 = 593.14/x
  3. Step 3: Cross multiply
    1,065.20x = 1,470.04 × 593.14
  4. Step 4: Simplify right side
    1,065.20x = 871,939.53
  5. Step 5: Solve for x
    x = 871,939.53/1,065.20
  6. Step 6: Final answer
    x = 818.57

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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.