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Finding the Fourth Proportional to 1,112.45, 1,669.04 and 332.46

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Solution

The fourth proportional to 1,112.45, 1,669.04 and 332.46 is: 498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.45 : 1,669.04 = 332.46 : x
  2. Step 2: Convert to fraction form
    1,112.45/1,669.04 = 332.46/x
  3. Step 3: Cross multiply
    1,112.45x = 1,669.04 × 332.46
  4. Step 4: Simplify right side
    1,112.45x = 554,887.38
  5. Step 5: Solve for x
    x = 554,887.38/1,112.45
  6. Step 6: Final answer
    x = 498.80

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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.