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Finding the Fourth Proportional to 1,112.23, 1,534.71 and 633.67

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Solution

The fourth proportional to 1,112.23, 1,534.71 and 633.67 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.23 : 1,534.71 = 633.67 : x
  2. Step 2: Convert to fraction form
    1,112.23/1,534.71 = 633.67/x
  3. Step 3: Cross multiply
    1,112.23x = 1,534.71 × 633.67
  4. Step 4: Simplify right side
    1,112.23x = 972,499.69
  5. Step 5: Solve for x
    x = 972,499.69/1,112.23
  6. Step 6: Final answer
    x = 874.37

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