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Finding the Fourth Proportional to 1,044.75, 1,441.78 and 572.67

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Solution

The fourth proportional to 1,044.75, 1,441.78 and 572.67 is: 790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.75 : 1,441.78 = 572.67 : x
  2. Step 2: Convert to fraction form
    1,044.75/1,441.78 = 572.67/x
  3. Step 3: Cross multiply
    1,044.75x = 1,441.78 × 572.67
  4. Step 4: Simplify right side
    1,044.75x = 825,664.15
  5. Step 5: Solve for x
    x = 825,664.15/1,044.75
  6. Step 6: Final answer
    x = 790.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.