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Finding the Fourth Proportional to 701.91, 1,053.01 and 269.07

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Solution

The fourth proportional to 701.91, 1,053.01 and 269.07 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.91 : 1,053.01 = 269.07 : x
  2. Step 2: Convert to fraction form
    701.91/1,053.01 = 269.07/x
  3. Step 3: Cross multiply
    701.91x = 1,053.01 × 269.07
  4. Step 4: Simplify right side
    701.91x = 283,328.14
  5. Step 5: Solve for x
    x = 283,328.14/701.91
  6. Step 6: Final answer
    x = 403.66

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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.