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Finding the Fourth Proportional to 1,002.78, 1,506.60 and 638.28

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Solution

The fourth proportional to 1,002.78, 1,506.60 and 638.28 is: 958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,506.60 = 638.28 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,506.60 = 638.28/x
  3. Step 3: Cross multiply
    1,002.78x = 1,506.60 × 638.28
  4. Step 4: Simplify right side
    1,002.78x = 961,632.65
  5. Step 5: Solve for x
    x = 961,632.65/1,002.78
  6. Step 6: Final answer
    x = 958.97

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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.