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Finding the Fourth Proportional to 803, 1,204.62 and 283.14

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Solution

The fourth proportional to 803, 1,204.62 and 283.14 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803 : 1,204.62 = 283.14 : x
  2. Step 2: Convert to fraction form
    803/1,204.62 = 283.14/x
  3. Step 3: Cross multiply
    803x = 1,204.62 × 283.14
  4. Step 4: Simplify right side
    803x = 341,076.11
  5. Step 5: Solve for x
    x = 341,076.11/803
  6. Step 6: Final answer
    x = 424.75

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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.