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Finding the Fourth Proportional to 665.03, 1,001.42 and 492.92

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Solution

The fourth proportional to 665.03, 1,001.42 and 492.92 is: 742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.03 : 1,001.42 = 492.92 : x
  2. Step 2: Convert to fraction form
    665.03/1,001.42 = 492.92/x
  3. Step 3: Cross multiply
    665.03x = 1,001.42 × 492.92
  4. Step 4: Simplify right side
    665.03x = 493,619.99
  5. Step 5: Solve for x
    x = 493,619.99/665.03
  6. Step 6: Final answer
    x = 742.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.