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Finding the Fourth Proportional to 1,000.24, 1,382.25 and 803.41

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Solution

The fourth proportional to 1,000.24, 1,382.25 and 803.41 is: 1,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.24 : 1,382.25 = 803.41 : x
  2. Step 2: Convert to fraction form
    1,000.24/1,382.25 = 803.41/x
  3. Step 3: Cross multiply
    1,000.24x = 1,382.25 × 803.41
  4. Step 4: Simplify right side
    1,000.24x = 1,110,513.47
  5. Step 5: Solve for x
    x = 1,110,513.47/1,000.24
  6. Step 6: Final answer
    x = 1,110.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.