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Finding the Fourth Proportional to 1,511.01, 2,265.17 and 730.58

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Solution

The fourth proportional to 1,511.01, 2,265.17 and 730.58 is: 1,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.01 : 2,265.17 = 730.58 : x
  2. Step 2: Convert to fraction form
    1,511.01/2,265.17 = 730.58/x
  3. Step 3: Cross multiply
    1,511.01x = 2,265.17 × 730.58
  4. Step 4: Simplify right side
    1,511.01x = 1,654,872.92
  5. Step 5: Solve for x
    x = 1,654,872.92/1,511.01
  6. Step 6: Final answer
    x = 1,095.21

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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.