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Finding the Fourth Proportional to 1,063.41, 1,596.10 and 543.79

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Solution

The fourth proportional to 1,063.41, 1,596.10 and 543.79 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.41 : 1,596.10 = 543.79 : x
  2. Step 2: Convert to fraction form
    1,063.41/1,596.10 = 543.79/x
  3. Step 3: Cross multiply
    1,063.41x = 1,596.10 × 543.79
  4. Step 4: Simplify right side
    1,063.41x = 867,943.22
  5. Step 5: Solve for x
    x = 867,943.22/1,063.41
  6. Step 6: Final answer
    x = 816.19

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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.