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Finding the Fourth Proportional to 1,044.42, 1,566.44 and 313.85

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Solution

The fourth proportional to 1,044.42, 1,566.44 and 313.85 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.42 : 1,566.44 = 313.85 : x
  2. Step 2: Convert to fraction form
    1,044.42/1,566.44 = 313.85/x
  3. Step 3: Cross multiply
    1,044.42x = 1,566.44 × 313.85
  4. Step 4: Simplify right side
    1,044.42x = 491,617.79
  5. Step 5: Solve for x
    x = 491,617.79/1,044.42
  6. Step 6: Final answer
    x = 470.71

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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.