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Finding the Fourth Proportional to 1,131.40, 1,561.17 and 634.06

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Solution

The fourth proportional to 1,131.40, 1,561.17 and 634.06 is: 874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,561.17 = 634.06 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,561.17 = 634.06/x
  3. Step 3: Cross multiply
    1,131.40x = 1,561.17 × 634.06
  4. Step 4: Simplify right side
    1,131.40x = 989,871.55
  5. Step 5: Solve for x
    x = 989,871.55/1,131.40
  6. Step 6: Final answer
    x = 874.91

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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.