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Finding the Fourth Proportional to 709.34, 1,063.58 and 275.99

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Solution

The fourth proportional to 709.34, 1,063.58 and 275.99 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.34 : 1,063.58 = 275.99 : x
  2. Step 2: Convert to fraction form
    709.34/1,063.58 = 275.99/x
  3. Step 3: Cross multiply
    709.34x = 1,063.58 × 275.99
  4. Step 4: Simplify right side
    709.34x = 293,530.75
  5. Step 5: Solve for x
    x = 293,530.75/709.34
  6. Step 6: Final answer
    x = 413.81

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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.