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Finding the Fourth Proportional to 885.14, 1,328.29 and 398.19

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Solution

The fourth proportional to 885.14, 1,328.29 and 398.19 is: 597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.14 : 1,328.29 = 398.19 : x
  2. Step 2: Convert to fraction form
    885.14/1,328.29 = 398.19/x
  3. Step 3: Cross multiply
    885.14x = 1,328.29 × 398.19
  4. Step 4: Simplify right side
    885.14x = 528,910.80
  5. Step 5: Solve for x
    x = 528,910.80/885.14
  6. Step 6: Final answer
    x = 597.55

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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.