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Finding the Fourth Proportional to 1,398.55, 2,098.23 and 668.14

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Solution

The fourth proportional to 1,398.55, 2,098.23 and 668.14 is: 1,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.55 : 2,098.23 = 668.14 : x
  2. Step 2: Convert to fraction form
    1,398.55/2,098.23 = 668.14/x
  3. Step 3: Cross multiply
    1,398.55x = 2,098.23 × 668.14
  4. Step 4: Simplify right side
    1,398.55x = 1,401,911.39
  5. Step 5: Solve for x
    x = 1,401,911.39/1,398.55
  6. Step 6: Final answer
    x = 1,002.40

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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.