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Finding the Fourth Proportional to 1,302.06, 1,796.88 and 742.43

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Solution

The fourth proportional to 1,302.06, 1,796.88 and 742.43 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.06 : 1,796.88 = 742.43 : x
  2. Step 2: Convert to fraction form
    1,302.06/1,796.88 = 742.43/x
  3. Step 3: Cross multiply
    1,302.06x = 1,796.88 × 742.43
  4. Step 4: Simplify right side
    1,302.06x = 1,334,057.62
  5. Step 5: Solve for x
    x = 1,334,057.62/1,302.06
  6. Step 6: Final answer
    x = 1,024.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.