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Finding the Fourth Proportional to 1,063.07, 1,593.23 and 514.50

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Solution

The fourth proportional to 1,063.07, 1,593.23 and 514.50 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.07 : 1,593.23 = 514.50 : x
  2. Step 2: Convert to fraction form
    1,063.07/1,593.23 = 514.50/x
  3. Step 3: Cross multiply
    1,063.07x = 1,593.23 × 514.50
  4. Step 4: Simplify right side
    1,063.07x = 819,716.84
  5. Step 5: Solve for x
    x = 819,716.84/1,063.07
  6. Step 6: Final answer
    x = 771.08

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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.