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Finding the Fourth Proportional to 1,158.19, 1,733.69 and 833.47

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Solution

The fourth proportional to 1,158.19, 1,733.69 and 833.47 is: 1,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.19 : 1,733.69 = 833.47 : x
  2. Step 2: Convert to fraction form
    1,158.19/1,733.69 = 833.47/x
  3. Step 3: Cross multiply
    1,158.19x = 1,733.69 × 833.47
  4. Step 4: Simplify right side
    1,158.19x = 1,444,974.44
  5. Step 5: Solve for x
    x = 1,444,974.44/1,158.19
  6. Step 6: Final answer
    x = 1,247.61

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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.