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Finding the Fourth Proportional to 1,497.74, 2,066.97 and 834.65

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Solution

The fourth proportional to 1,497.74, 2,066.97 and 834.65 is: 1,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.74 : 2,066.97 = 834.65 : x
  2. Step 2: Convert to fraction form
    1,497.74/2,066.97 = 834.65/x
  3. Step 3: Cross multiply
    1,497.74x = 2,066.97 × 834.65
  4. Step 4: Simplify right side
    1,497.74x = 1,725,196.51
  5. Step 5: Solve for x
    x = 1,725,196.51/1,497.74
  6. Step 6: Final answer
    x = 1,151.87

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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.