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Finding the Fourth Proportional to 1,005.80, 1,506.90 and 822.20

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Solution

The fourth proportional to 1,005.80, 1,506.90 and 822.20 is: 1,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.80 : 1,506.90 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,005.80/1,506.90 = 822.20/x
  3. Step 3: Cross multiply
    1,005.80x = 1,506.90 × 822.20
  4. Step 4: Simplify right side
    1,005.80x = 1,238,973.18
  5. Step 5: Solve for x
    x = 1,238,973.18/1,005.80
  6. Step 6: Final answer
    x = 1,231.83

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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.