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Finding the Fourth Proportional to 1,228.24, 1,842.96 and 497.92

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Solution

The fourth proportional to 1,228.24, 1,842.96 and 497.92 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.24 : 1,842.96 = 497.92 : x
  2. Step 2: Convert to fraction form
    1,228.24/1,842.96 = 497.92/x
  3. Step 3: Cross multiply
    1,228.24x = 1,842.96 × 497.92
  4. Step 4: Simplify right side
    1,228.24x = 917,646.64
  5. Step 5: Solve for x
    x = 917,646.64/1,228.24
  6. Step 6: Final answer
    x = 747.12

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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.