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Finding the Fourth Proportional to 1,044.12, 1,566.19 and 313.75

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Solution

The fourth proportional to 1,044.12, 1,566.19 and 313.75 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.12 : 1,566.19 = 313.75 : x
  2. Step 2: Convert to fraction form
    1,044.12/1,566.19 = 313.75/x
  3. Step 3: Cross multiply
    1,044.12x = 1,566.19 × 313.75
  4. Step 4: Simplify right side
    1,044.12x = 491,388.29
  5. Step 5: Solve for x
    x = 491,388.29/1,044.12
  6. Step 6: Final answer
    x = 470.63

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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.