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Finding the Fourth Proportional to 1,005.80, 1,507.44 and 823.52

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Solution

The fourth proportional to 1,005.80, 1,507.44 and 823.52 is: 1,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.80 : 1,507.44 = 823.52 : x
  2. Step 2: Convert to fraction form
    1,005.80/1,507.44 = 823.52/x
  3. Step 3: Cross multiply
    1,005.80x = 1,507.44 × 823.52
  4. Step 4: Simplify right side
    1,005.80x = 1,241,406.99
  5. Step 5: Solve for x
    x = 1,241,406.99/1,005.80
  6. Step 6: Final answer
    x = 1,234.25

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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.