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Finding the Fourth Proportional to 1,438.41, 2,157.33 and 398.13

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Solution

The fourth proportional to 1,438.41, 2,157.33 and 398.13 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.41 : 2,157.33 = 398.13 : x
  2. Step 2: Convert to fraction form
    1,438.41/2,157.33 = 398.13/x
  3. Step 3: Cross multiply
    1,438.41x = 2,157.33 × 398.13
  4. Step 4: Simplify right side
    1,438.41x = 858,897.79
  5. Step 5: Solve for x
    x = 858,897.79/1,438.41
  6. Step 6: Final answer
    x = 597.12

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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.