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Finding the Fourth Proportional to 889.48, 1,335.72 and 743.08

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Solution

The fourth proportional to 889.48, 1,335.72 and 743.08 is: 1,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.48 : 1,335.72 = 743.08 : x
  2. Step 2: Convert to fraction form
    889.48/1,335.72 = 743.08/x
  3. Step 3: Cross multiply
    889.48x = 1,335.72 × 743.08
  4. Step 4: Simplify right side
    889.48x = 992,546.82
  5. Step 5: Solve for x
    x = 992,546.82/889.48
  6. Step 6: Final answer
    x = 1,115.87

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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.