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Finding the Fourth Proportional to 1,031.35, 1,423.46 and 806.83

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Solution

The fourth proportional to 1,031.35, 1,423.46 and 806.83 is: 1,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.35 : 1,423.46 = 806.83 : x
  2. Step 2: Convert to fraction form
    1,031.35/1,423.46 = 806.83/x
  3. Step 3: Cross multiply
    1,031.35x = 1,423.46 × 806.83
  4. Step 4: Simplify right side
    1,031.35x = 1,148,491.54
  5. Step 5: Solve for x
    x = 1,148,491.54/1,031.35
  6. Step 6: Final answer
    x = 1,113.58

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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.