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Finding the Fourth Proportional to 1,102.26, 1,653.38 and 332.76

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Solution

The fourth proportional to 1,102.26, 1,653.38 and 332.76 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.26 : 1,653.38 = 332.76 : x
  2. Step 2: Convert to fraction form
    1,102.26/1,653.38 = 332.76/x
  3. Step 3: Cross multiply
    1,102.26x = 1,653.38 × 332.76
  4. Step 4: Simplify right side
    1,102.26x = 550,178.73
  5. Step 5: Solve for x
    x = 550,178.73/1,102.26
  6. Step 6: Final answer
    x = 499.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.