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Finding the Fourth Proportional to 1,097.35, 1,513.99 and 699.03

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Solution

The fourth proportional to 1,097.35, 1,513.99 and 699.03 is: 964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.35 : 1,513.99 = 699.03 : x
  2. Step 2: Convert to fraction form
    1,097.35/1,513.99 = 699.03/x
  3. Step 3: Cross multiply
    1,097.35x = 1,513.99 × 699.03
  4. Step 4: Simplify right side
    1,097.35x = 1,058,325.30
  5. Step 5: Solve for x
    x = 1,058,325.30/1,097.35
  6. Step 6: Final answer
    x = 964.44

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Why These Related Problems?

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