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Finding the Fourth Proportional to 1,010.23, 1,514.62 and 393.41

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Solution

The fourth proportional to 1,010.23, 1,514.62 and 393.41 is: 589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.23 : 1,514.62 = 393.41 : x
  2. Step 2: Convert to fraction form
    1,010.23/1,514.62 = 393.41/x
  3. Step 3: Cross multiply
    1,010.23x = 1,514.62 × 393.41
  4. Step 4: Simplify right side
    1,010.23x = 595,866.65
  5. Step 5: Solve for x
    x = 595,866.65/1,010.23
  6. Step 6: Final answer
    x = 589.83

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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.