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Finding the Fourth Proportional to 1,514.69, 2,271.32 and 540.56

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Solution

The fourth proportional to 1,514.69, 2,271.32 and 540.56 is: 810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.69 : 2,271.32 = 540.56 : x
  2. Step 2: Convert to fraction form
    1,514.69/2,271.32 = 540.56/x
  3. Step 3: Cross multiply
    1,514.69x = 2,271.32 × 540.56
  4. Step 4: Simplify right side
    1,514.69x = 1,227,784.74
  5. Step 5: Solve for x
    x = 1,227,784.74/1,514.69
  6. Step 6: Final answer
    x = 810.58

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