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Finding the Fourth Proportional to 1,070.34, 1,601.27 and 811.10

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Solution

The fourth proportional to 1,070.34, 1,601.27 and 811.10 is: 1,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.34 : 1,601.27 = 811.10 : x
  2. Step 2: Convert to fraction form
    1,070.34/1,601.27 = 811.10/x
  3. Step 3: Cross multiply
    1,070.34x = 1,601.27 × 811.10
  4. Step 4: Simplify right side
    1,070.34x = 1,298,778.04
  5. Step 5: Solve for x
    x = 1,298,778.04/1,070.34
  6. Step 6: Final answer
    x = 1,213.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.