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Finding the Fourth Proportional to 803.57, 1,205.53 and 248.33

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Solution

The fourth proportional to 803.57, 1,205.53 and 248.33 is: 372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.57 : 1,205.53 = 248.33 : x
  2. Step 2: Convert to fraction form
    803.57/1,205.53 = 248.33/x
  3. Step 3: Cross multiply
    803.57x = 1,205.53 × 248.33
  4. Step 4: Simplify right side
    803.57x = 299,362.00
  5. Step 5: Solve for x
    x = 299,362.00/803.57
  6. Step 6: Final answer
    x = 372.54

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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.