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Finding the Fourth Proportional to 1,497.69, 2,066.74 and 834.61

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Solution

The fourth proportional to 1,497.69, 2,066.74 and 834.61 is: 1,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.69 : 2,066.74 = 834.61 : x
  2. Step 2: Convert to fraction form
    1,497.69/2,066.74 = 834.61/x
  3. Step 3: Cross multiply
    1,497.69x = 2,066.74 × 834.61
  4. Step 4: Simplify right side
    1,497.69x = 1,724,921.87
  5. Step 5: Solve for x
    x = 1,724,921.87/1,497.69
  6. Step 6: Final answer
    x = 1,151.72

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Why These Related Problems?

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