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Finding the Fourth Proportional to 1,131.52, 1,696.82 and 472.97

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Solution

The fourth proportional to 1,131.52, 1,696.82 and 472.97 is: 709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.52 : 1,696.82 = 472.97 : x
  2. Step 2: Convert to fraction form
    1,131.52/1,696.82 = 472.97/x
  3. Step 3: Cross multiply
    1,131.52x = 1,696.82 × 472.97
  4. Step 4: Simplify right side
    1,131.52x = 802,536.47
  5. Step 5: Solve for x
    x = 802,536.47/1,131.52
  6. Step 6: Final answer
    x = 709.26

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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.