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Finding the Fourth Proportional to 803.12, 1,204.64 and 283.15

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Solution

The fourth proportional to 803.12, 1,204.64 and 283.15 is: 424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,204.64 = 283.15 : x
  2. Step 2: Convert to fraction form
    803.12/1,204.64 = 283.15/x
  3. Step 3: Cross multiply
    803.12x = 1,204.64 × 283.15
  4. Step 4: Simplify right side
    803.12x = 341,086.38
  5. Step 5: Solve for x
    x = 341,086.38/803.12
  6. Step 6: Final answer
    x = 424.70

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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.