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Finding the Fourth Proportional to 1,224.82, 1,690.21 and 700.82

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Solution

The fourth proportional to 1,224.82, 1,690.21 and 700.82 is: 967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.82 : 1,690.21 = 700.82 : x
  2. Step 2: Convert to fraction form
    1,224.82/1,690.21 = 700.82/x
  3. Step 3: Cross multiply
    1,224.82x = 1,690.21 × 700.82
  4. Step 4: Simplify right side
    1,224.82x = 1,184,532.97
  5. Step 5: Solve for x
    x = 1,184,532.97/1,224.82
  6. Step 6: Final answer
    x = 967.11

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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.