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Finding the Fourth Proportional to 798.24, 1,196.63 and 285.12

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Solution

The fourth proportional to 798.24, 1,196.63 and 285.12 is: 427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.24 : 1,196.63 = 285.12 : x
  2. Step 2: Convert to fraction form
    798.24/1,196.63 = 285.12/x
  3. Step 3: Cross multiply
    798.24x = 1,196.63 × 285.12
  4. Step 4: Simplify right side
    798.24x = 341,177.16
  5. Step 5: Solve for x
    x = 341,177.16/798.24
  6. Step 6: Final answer
    x = 427.41

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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.