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Finding the Fourth Proportional to 1,131.57, 1,561.50 and 634.26

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Solution

The fourth proportional to 1,131.57, 1,561.50 and 634.26 is: 875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,561.50 = 634.26 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,561.50 = 634.26/x
  3. Step 3: Cross multiply
    1,131.57x = 1,561.50 × 634.26
  4. Step 4: Simplify right side
    1,131.57x = 990,396.99
  5. Step 5: Solve for x
    x = 990,396.99/1,131.57
  6. Step 6: Final answer
    x = 875.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.