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Finding the Fourth Proportional to 998.66, 1,496.70 and 690.02

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Solution

The fourth proportional to 998.66, 1,496.70 and 690.02 is: 1,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.66 : 1,496.70 = 690.02 : x
  2. Step 2: Convert to fraction form
    998.66/1,496.70 = 690.02/x
  3. Step 3: Cross multiply
    998.66x = 1,496.70 × 690.02
  4. Step 4: Simplify right side
    998.66x = 1,032,752.93
  5. Step 5: Solve for x
    x = 1,032,752.93/998.66
  6. Step 6: Final answer
    x = 1,034.14

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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.