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Finding the Fourth Proportional to 742.65, 1,113.64 and 248.92

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Solution

The fourth proportional to 742.65, 1,113.64 and 248.92 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,113.64 = 248.92 : x
  2. Step 2: Convert to fraction form
    742.65/1,113.64 = 248.92/x
  3. Step 3: Cross multiply
    742.65x = 1,113.64 × 248.92
  4. Step 4: Simplify right side
    742.65x = 277,207.27
  5. Step 5: Solve for x
    x = 277,207.27/742.65
  6. Step 6: Final answer
    x = 373.27

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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.