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Finding the Fourth Proportional to 1,131.94, 1,562.02 and 634.57

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Solution

The fourth proportional to 1,131.94, 1,562.02 and 634.57 is: 875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.94 : 1,562.02 = 634.57 : x
  2. Step 2: Convert to fraction form
    1,131.94/1,562.02 = 634.57/x
  3. Step 3: Cross multiply
    1,131.94x = 1,562.02 × 634.57
  4. Step 4: Simplify right side
    1,131.94x = 991,211.03
  5. Step 5: Solve for x
    x = 991,211.03/1,131.94
  6. Step 6: Final answer
    x = 875.67

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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.