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Finding the Fourth Proportional to 827.03, 1,141.06 and 591.05

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Solution

The fourth proportional to 827.03, 1,141.06 and 591.05 is: 815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.03 : 1,141.06 = 591.05 : x
  2. Step 2: Convert to fraction form
    827.03/1,141.06 = 591.05/x
  3. Step 3: Cross multiply
    827.03x = 1,141.06 × 591.05
  4. Step 4: Simplify right side
    827.03x = 674,423.51
  5. Step 5: Solve for x
    x = 674,423.51/827.03
  6. Step 6: Final answer
    x = 815.48

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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.