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Finding the Fourth Proportional to 1,295.02, 1,939.95 and 635.62

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Solution

The fourth proportional to 1,295.02, 1,939.95 and 635.62 is: 952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.02 : 1,939.95 = 635.62 : x
  2. Step 2: Convert to fraction form
    1,295.02/1,939.95 = 635.62/x
  3. Step 3: Cross multiply
    1,295.02x = 1,939.95 × 635.62
  4. Step 4: Simplify right side
    1,295.02x = 1,233,071.02
  5. Step 5: Solve for x
    x = 1,233,071.02/1,295.02
  6. Step 6: Final answer
    x = 952.16

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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.