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Finding the Fourth Proportional to 1,044.34, 1,566.44 and 427.72

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Solution

The fourth proportional to 1,044.34, 1,566.44 and 427.72 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.34 : 1,566.44 = 427.72 : x
  2. Step 2: Convert to fraction form
    1,044.34/1,566.44 = 427.72/x
  3. Step 3: Cross multiply
    1,044.34x = 1,566.44 × 427.72
  4. Step 4: Simplify right side
    1,044.34x = 669,997.72
  5. Step 5: Solve for x
    x = 669,997.72/1,044.34
  6. Step 6: Final answer
    x = 641.55

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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.