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Finding the Fourth Proportional to 1,530.74, 2,297.09 and 800.82

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Solution

The fourth proportional to 1,530.74, 2,297.09 and 800.82 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.74 : 2,297.09 = 800.82 : x
  2. Step 2: Convert to fraction form
    1,530.74/2,297.09 = 800.82/x
  3. Step 3: Cross multiply
    1,530.74x = 2,297.09 × 800.82
  4. Step 4: Simplify right side
    1,530.74x = 1,839,551.61
  5. Step 5: Solve for x
    x = 1,839,551.61/1,530.74
  6. Step 6: Final answer
    x = 1,201.74

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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.