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Finding the Fourth Proportional to 998.02, 1,497.72 and 348.76

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Solution

The fourth proportional to 998.02, 1,497.72 and 348.76 is: 523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.02 : 1,497.72 = 348.76 : x
  2. Step 2: Convert to fraction form
    998.02/1,497.72 = 348.76/x
  3. Step 3: Cross multiply
    998.02x = 1,497.72 × 348.76
  4. Step 4: Simplify right side
    998.02x = 522,344.83
  5. Step 5: Solve for x
    x = 522,344.83/998.02
  6. Step 6: Final answer
    x = 523.38

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1.5x scale

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.