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Finding the Fourth Proportional to 1,044.35, 1,566.53 and 427.62

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Solution

The fourth proportional to 1,044.35, 1,566.53 and 427.62 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.35 : 1,566.53 = 427.62 : x
  2. Step 2: Convert to fraction form
    1,044.35/1,566.53 = 427.62/x
  3. Step 3: Cross multiply
    1,044.35x = 1,566.53 × 427.62
  4. Step 4: Simplify right side
    1,044.35x = 669,877.42
  5. Step 5: Solve for x
    x = 669,877.42/1,044.35
  6. Step 6: Final answer
    x = 641.43

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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.