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Finding the Fourth Proportional to 1,200.47, 1,800.81 and 334.79

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Solution

The fourth proportional to 1,200.47, 1,800.81 and 334.79 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.47 : 1,800.81 = 334.79 : x
  2. Step 2: Convert to fraction form
    1,200.47/1,800.81 = 334.79/x
  3. Step 3: Cross multiply
    1,200.47x = 1,800.81 × 334.79
  4. Step 4: Simplify right side
    1,200.47x = 602,884.18
  5. Step 5: Solve for x
    x = 602,884.18/1,200.47
  6. Step 6: Final answer
    x = 502.21

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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.