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Finding the Fourth Proportional to 803.09, 1,204.68 and 283.02

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Solution

The fourth proportional to 803.09, 1,204.68 and 283.02 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.09 : 1,204.68 = 283.02 : x
  2. Step 2: Convert to fraction form
    803.09/1,204.68 = 283.02/x
  3. Step 3: Cross multiply
    803.09x = 1,204.68 × 283.02
  4. Step 4: Simplify right side
    803.09x = 340,948.53
  5. Step 5: Solve for x
    x = 340,948.53/803.09
  6. Step 6: Final answer
    x = 424.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.