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Finding the Fourth Proportional to 1,005.74, 1,506.44 and 830.44

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Solution

The fourth proportional to 1,005.74, 1,506.44 and 830.44 is: 1,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.74 : 1,506.44 = 830.44 : x
  2. Step 2: Convert to fraction form
    1,005.74/1,506.44 = 830.44/x
  3. Step 3: Cross multiply
    1,005.74x = 1,506.44 × 830.44
  4. Step 4: Simplify right side
    1,005.74x = 1,251,008.03
  5. Step 5: Solve for x
    x = 1,251,008.03/1,005.74
  6. Step 6: Final answer
    x = 1,243.87

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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.