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Finding the Fourth Proportional to 889.72, 1,335.12 and 341.97

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Solution

The fourth proportional to 889.72, 1,335.12 and 341.97 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.72 : 1,335.12 = 341.97 : x
  2. Step 2: Convert to fraction form
    889.72/1,335.12 = 341.97/x
  3. Step 3: Cross multiply
    889.72x = 1,335.12 × 341.97
  4. Step 4: Simplify right side
    889.72x = 456,570.99
  5. Step 5: Solve for x
    x = 456,570.99/889.72
  6. Step 6: Final answer
    x = 513.16

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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.