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Finding the Fourth Proportional to 1,155.91, 1,734.59 and 669.91

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Solution

The fourth proportional to 1,155.91, 1,734.59 and 669.91 is: 1,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.91 : 1,734.59 = 669.91 : x
  2. Step 2: Convert to fraction form
    1,155.91/1,734.59 = 669.91/x
  3. Step 3: Cross multiply
    1,155.91x = 1,734.59 × 669.91
  4. Step 4: Simplify right side
    1,155.91x = 1,162,019.19
  5. Step 5: Solve for x
    x = 1,162,019.19/1,155.91
  6. Step 6: Final answer
    x = 1,005.29

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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.