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Finding the Fourth Proportional to 800.84, 1,200.51 and 454.43

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Solution

The fourth proportional to 800.84, 1,200.51 and 454.43 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,200.51 = 454.43 : x
  2. Step 2: Convert to fraction form
    800.84/1,200.51 = 454.43/x
  3. Step 3: Cross multiply
    800.84x = 1,200.51 × 454.43
  4. Step 4: Simplify right side
    800.84x = 545,541.76
  5. Step 5: Solve for x
    x = 545,541.76/800.84
  6. Step 6: Final answer
    x = 681.22

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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.