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Finding the Fourth Proportional to 1,243.35, 1,714.55 and 800.46

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Solution

The fourth proportional to 1,243.35, 1,714.55 and 800.46 is: 1,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.35 : 1,714.55 = 800.46 : x
  2. Step 2: Convert to fraction form
    1,243.35/1,714.55 = 800.46/x
  3. Step 3: Cross multiply
    1,243.35x = 1,714.55 × 800.46
  4. Step 4: Simplify right side
    1,243.35x = 1,372,424.69
  5. Step 5: Solve for x
    x = 1,372,424.69/1,243.35
  6. Step 6: Final answer
    x = 1,103.81

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