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Finding the Fourth Proportional to 1,799.03, 2,699.55 and 825.14

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Solution

The fourth proportional to 1,799.03, 2,699.55 and 825.14 is: 1,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.03 : 2,699.55 = 825.14 : x
  2. Step 2: Convert to fraction form
    1,799.03/2,699.55 = 825.14/x
  3. Step 3: Cross multiply
    1,799.03x = 2,699.55 × 825.14
  4. Step 4: Simplify right side
    1,799.03x = 2,227,506.69
  5. Step 5: Solve for x
    x = 2,227,506.69/1,799.03
  6. Step 6: Final answer
    x = 1,238.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.