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Finding the Fourth Proportional to 707.74, 1,062.12 and 269.38

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Solution

The fourth proportional to 707.74, 1,062.12 and 269.38 is: 404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.74 : 1,062.12 = 269.38 : x
  2. Step 2: Convert to fraction form
    707.74/1,062.12 = 269.38/x
  3. Step 3: Cross multiply
    707.74x = 1,062.12 × 269.38
  4. Step 4: Simplify right side
    707.74x = 286,113.89
  5. Step 5: Solve for x
    x = 286,113.89/707.74
  6. Step 6: Final answer
    x = 404.26

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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.