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Finding the Fourth Proportional to 1,393.91, 1,923.53 and 834.69

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Solution

The fourth proportional to 1,393.91, 1,923.53 and 834.69 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.91 : 1,923.53 = 834.69 : x
  2. Step 2: Convert to fraction form
    1,393.91/1,923.53 = 834.69/x
  3. Step 3: Cross multiply
    1,393.91x = 1,923.53 × 834.69
  4. Step 4: Simplify right side
    1,393.91x = 1,605,537.46
  5. Step 5: Solve for x
    x = 1,605,537.46/1,393.91
  6. Step 6: Final answer
    x = 1,151.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.