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Finding the Fourth Proportional to 1,335.42, 2,004.02 and 469.73

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Solution

The fourth proportional to 1,335.42, 2,004.02 and 469.73 is: 704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.42 : 2,004.02 = 469.73 : x
  2. Step 2: Convert to fraction form
    1,335.42/2,004.02 = 469.73/x
  3. Step 3: Cross multiply
    1,335.42x = 2,004.02 × 469.73
  4. Step 4: Simplify right side
    1,335.42x = 941,348.31
  5. Step 5: Solve for x
    x = 941,348.31/1,335.42
  6. Step 6: Final answer
    x = 704.91

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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.