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Finding the Fourth Proportional to 1,155.82, 1,730.85 and 721.66

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Solution

The fourth proportional to 1,155.82, 1,730.85 and 721.66 is: 1,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.82 : 1,730.85 = 721.66 : x
  2. Step 2: Convert to fraction form
    1,155.82/1,730.85 = 721.66/x
  3. Step 3: Cross multiply
    1,155.82x = 1,730.85 × 721.66
  4. Step 4: Simplify right side
    1,155.82x = 1,249,085.21
  5. Step 5: Solve for x
    x = 1,249,085.21/1,155.82
  6. Step 6: Final answer
    x = 1,080.69

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Why These Related Problems?

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