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Finding the Fourth Proportional to 1,011.99, 1,518.07 and 395.65

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Solution

The fourth proportional to 1,011.99, 1,518.07 and 395.65 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.99 : 1,518.07 = 395.65 : x
  2. Step 2: Convert to fraction form
    1,011.99/1,518.07 = 395.65/x
  3. Step 3: Cross multiply
    1,011.99x = 1,518.07 × 395.65
  4. Step 4: Simplify right side
    1,011.99x = 600,624.40
  5. Step 5: Solve for x
    x = 600,624.40/1,011.99
  6. Step 6: Final answer
    x = 593.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.