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Finding the Fourth Proportional to 1,424.69, 2,137.40 and 398.69

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Solution

The fourth proportional to 1,424.69, 2,137.40 and 398.69 is: 598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.69 : 2,137.40 = 398.69 : x
  2. Step 2: Convert to fraction form
    1,424.69/2,137.40 = 398.69/x
  3. Step 3: Cross multiply
    1,424.69x = 2,137.40 × 398.69
  4. Step 4: Simplify right side
    1,424.69x = 852,158.01
  5. Step 5: Solve for x
    x = 852,158.01/1,424.69
  6. Step 6: Final answer
    x = 598.14

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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.