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Finding the Fourth Proportional to 709.81, 1,065.49 and 524.14

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Solution

The fourth proportional to 709.81, 1,065.49 and 524.14 is: 786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.81 : 1,065.49 = 524.14 : x
  2. Step 2: Convert to fraction form
    709.81/1,065.49 = 524.14/x
  3. Step 3: Cross multiply
    709.81x = 1,065.49 × 524.14
  4. Step 4: Simplify right side
    709.81x = 558,465.95
  5. Step 5: Solve for x
    x = 558,465.95/709.81
  6. Step 6: Final answer
    x = 786.79

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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.