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Finding the Fourth Proportional to 1,513.02, 2,267.93 and 635.30

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Solution

The fourth proportional to 1,513.02, 2,267.93 and 635.30 is: 952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.02 : 2,267.93 = 635.30 : x
  2. Step 2: Convert to fraction form
    1,513.02/2,267.93 = 635.30/x
  3. Step 3: Cross multiply
    1,513.02x = 2,267.93 × 635.30
  4. Step 4: Simplify right side
    1,513.02x = 1,440,815.93
  5. Step 5: Solve for x
    x = 1,440,815.93/1,513.02
  6. Step 6: Final answer
    x = 952.28

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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.