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Finding the Fourth Proportional to 1,131.92, 1,561.91 and 634.45

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Solution

The fourth proportional to 1,131.92, 1,561.91 and 634.45 is: 875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.92 : 1,561.91 = 634.45 : x
  2. Step 2: Convert to fraction form
    1,131.92/1,561.91 = 634.45/x
  3. Step 3: Cross multiply
    1,131.92x = 1,561.91 × 634.45
  4. Step 4: Simplify right side
    1,131.92x = 990,946.72
  5. Step 5: Solve for x
    x = 990,946.72/1,131.92
  6. Step 6: Final answer
    x = 875.46

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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.