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Finding the Fourth Proportional to 1,131.50, 1,696.08 and 400.52

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Solution

The fourth proportional to 1,131.50, 1,696.08 and 400.52 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.50 : 1,696.08 = 400.52 : x
  2. Step 2: Convert to fraction form
    1,131.50/1,696.08 = 400.52/x
  3. Step 3: Cross multiply
    1,131.50x = 1,696.08 × 400.52
  4. Step 4: Simplify right side
    1,131.50x = 679,313.96
  5. Step 5: Solve for x
    x = 679,313.96/1,131.50
  6. Step 6: Final answer
    x = 600.37

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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.