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Finding the Fourth Proportional to 1,063.16, 1,593.32 and 514.36

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Solution

The fourth proportional to 1,063.16, 1,593.32 and 514.36 is: 770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.16 : 1,593.32 = 514.36 : x
  2. Step 2: Convert to fraction form
    1,063.16/1,593.32 = 514.36/x
  3. Step 3: Cross multiply
    1,063.16x = 1,593.32 × 514.36
  4. Step 4: Simplify right side
    1,063.16x = 819,540.08
  5. Step 5: Solve for x
    x = 819,540.08/1,063.16
  6. Step 6: Final answer
    x = 770.85

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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.