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Finding the Fourth Proportional to 1,044.34, 1,566.26 and 313.74

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Solution

The fourth proportional to 1,044.34, 1,566.26 and 313.74 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.34 : 1,566.26 = 313.74 : x
  2. Step 2: Convert to fraction form
    1,044.34/1,566.26 = 313.74/x
  3. Step 3: Cross multiply
    1,044.34x = 1,566.26 × 313.74
  4. Step 4: Simplify right side
    1,044.34x = 491,398.41
  5. Step 5: Solve for x
    x = 491,398.41/1,044.34
  6. Step 6: Final answer
    x = 470.53

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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.