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Finding the Fourth Proportional to 1,497.73, 2,066.77 and 834.57

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Solution

The fourth proportional to 1,497.73, 2,066.77 and 834.57 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.73 : 2,066.77 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,497.73/2,066.77 = 834.57/x
  3. Step 3: Cross multiply
    1,497.73x = 2,066.77 × 834.57
  4. Step 4: Simplify right side
    1,497.73x = 1,724,864.24
  5. Step 5: Solve for x
    x = 1,724,864.24/1,497.73
  6. Step 6: Final answer
    x = 1,151.65

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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.