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Finding the Fourth Proportional to 1,335.36, 2,002.73 and 469.67

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Solution

The fourth proportional to 1,335.36, 2,002.73 and 469.67 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.36 : 2,002.73 = 469.67 : x
  2. Step 2: Convert to fraction form
    1,335.36/2,002.73 = 469.67/x
  3. Step 3: Cross multiply
    1,335.36x = 2,002.73 × 469.67
  4. Step 4: Simplify right side
    1,335.36x = 940,622.20
  5. Step 5: Solve for x
    x = 940,622.20/1,335.36
  6. Step 6: Final answer
    x = 704.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.