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Finding the Fourth Proportional to 803.19, 1,204.96 and 456.69

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Solution

The fourth proportional to 803.19, 1,204.96 and 456.69 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.19 : 1,204.96 = 456.69 : x
  2. Step 2: Convert to fraction form
    803.19/1,204.96 = 456.69/x
  3. Step 3: Cross multiply
    803.19x = 1,204.96 × 456.69
  4. Step 4: Simplify right side
    803.19x = 550,292.04
  5. Step 5: Solve for x
    x = 550,292.04/803.19
  6. Step 6: Final answer
    x = 685.13

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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.