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Finding the Fourth Proportional to 746.02, 1,119.12 and 335.08

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Solution

The fourth proportional to 746.02, 1,119.12 and 335.08 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.02 : 1,119.12 = 335.08 : x
  2. Step 2: Convert to fraction form
    746.02/1,119.12 = 335.08/x
  3. Step 3: Cross multiply
    746.02x = 1,119.12 × 335.08
  4. Step 4: Simplify right side
    746.02x = 374,994.73
  5. Step 5: Solve for x
    x = 374,994.73/746.02
  6. Step 6: Final answer
    x = 502.66

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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.