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Finding the Fourth Proportional to 1,063.66, 1,594.07 and 514.75

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Solution

The fourth proportional to 1,063.66, 1,594.07 and 514.75 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.66 : 1,594.07 = 514.75 : x
  2. Step 2: Convert to fraction form
    1,063.66/1,594.07 = 514.75/x
  3. Step 3: Cross multiply
    1,063.66x = 1,594.07 × 514.75
  4. Step 4: Simplify right side
    1,063.66x = 820,536.99
  5. Step 5: Solve for x
    x = 820,536.99/1,063.66
  6. Step 6: Final answer
    x = 771.43

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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.