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Finding the Fourth Proportional to 803.29, 1,204.94 and 283.33

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Solution

The fourth proportional to 803.29, 1,204.94 and 283.33 is: 425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.29 : 1,204.94 = 283.33 : x
  2. Step 2: Convert to fraction form
    803.29/1,204.94 = 283.33/x
  3. Step 3: Cross multiply
    803.29x = 1,204.94 × 283.33
  4. Step 4: Simplify right side
    803.29x = 341,395.74
  5. Step 5: Solve for x
    x = 341,395.74/803.29
  6. Step 6: Final answer
    x = 425.00

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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.