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Finding the Fourth Proportional to 1,044.38, 1,566.76 and 313.88

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Solution

The fourth proportional to 1,044.38, 1,566.76 and 313.88 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.38 : 1,566.76 = 313.88 : x
  2. Step 2: Convert to fraction form
    1,044.38/1,566.76 = 313.88/x
  3. Step 3: Cross multiply
    1,044.38x = 1,566.76 × 313.88
  4. Step 4: Simplify right side
    1,044.38x = 491,774.63
  5. Step 5: Solve for x
    x = 491,774.63/1,044.38
  6. Step 6: Final answer
    x = 470.88

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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.