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Finding the Fourth Proportional to 1,065.91, 1,600.08 and 628.12

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Solution

The fourth proportional to 1,065.91, 1,600.08 and 628.12 is: 942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.91 : 1,600.08 = 628.12 : x
  2. Step 2: Convert to fraction form
    1,065.91/1,600.08 = 628.12/x
  3. Step 3: Cross multiply
    1,065.91x = 1,600.08 × 628.12
  4. Step 4: Simplify right side
    1,065.91x = 1,005,042.25
  5. Step 5: Solve for x
    x = 1,005,042.25/1,065.91
  6. Step 6: Final answer
    x = 942.90

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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.