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Finding the Fourth Proportional to 1,065.76, 1,470.74 and 593.65

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Solution

The fourth proportional to 1,065.76, 1,470.74 and 593.65 is: 819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.76 : 1,470.74 = 593.65 : x
  2. Step 2: Convert to fraction form
    1,065.76/1,470.74 = 593.65/x
  3. Step 3: Cross multiply
    1,065.76x = 1,470.74 × 593.65
  4. Step 4: Simplify right side
    1,065.76x = 873,104.80
  5. Step 5: Solve for x
    x = 873,104.80/1,065.76
  6. Step 6: Final answer
    x = 819.23

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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.