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Finding the Fourth Proportional to 1,065.80, 1,470.80 and 593.69

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Solution

The fourth proportional to 1,065.80, 1,470.80 and 593.69 is: 819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.80 : 1,470.80 = 593.69 : x
  2. Step 2: Convert to fraction form
    1,065.80/1,470.80 = 593.69/x
  3. Step 3: Cross multiply
    1,065.80x = 1,470.80 × 593.69
  4. Step 4: Simplify right side
    1,065.80x = 873,188.93
  5. Step 5: Solve for x
    x = 873,188.93/1,065.80
  6. Step 6: Final answer
    x = 819.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.