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Finding the Fourth Proportional to 709.99, 1,065.10 and 363.14

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Solution

The fourth proportional to 709.99, 1,065.10 and 363.14 is: 544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.99 : 1,065.10 = 363.14 : x
  2. Step 2: Convert to fraction form
    709.99/1,065.10 = 363.14/x
  3. Step 3: Cross multiply
    709.99x = 1,065.10 × 363.14
  4. Step 4: Simplify right side
    709.99x = 386,780.41
  5. Step 5: Solve for x
    x = 386,780.41/709.99
  6. Step 6: Final answer
    x = 544.77

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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.