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Finding the Fourth Proportional to 1,398.36, 2,097.76 and 424.34

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Solution

The fourth proportional to 1,398.36, 2,097.76 and 424.34 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.36 : 2,097.76 = 424.34 : x
  2. Step 2: Convert to fraction form
    1,398.36/2,097.76 = 424.34/x
  3. Step 3: Cross multiply
    1,398.36x = 2,097.76 × 424.34
  4. Step 4: Simplify right side
    1,398.36x = 890,163.48
  5. Step 5: Solve for x
    x = 890,163.48/1,398.36
  6. Step 6: Final answer
    x = 636.58

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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.