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Finding the Fourth Proportional to 707.53, 1,061.82 and 269.21

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Solution

The fourth proportional to 707.53, 1,061.82 and 269.21 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.53 : 1,061.82 = 269.21 : x
  2. Step 2: Convert to fraction form
    707.53/1,061.82 = 269.21/x
  3. Step 3: Cross multiply
    707.53x = 1,061.82 × 269.21
  4. Step 4: Simplify right side
    707.53x = 285,852.56
  5. Step 5: Solve for x
    x = 285,852.56/707.53
  6. Step 6: Final answer
    x = 404.01

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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.