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Finding the Fourth Proportional to 1,497.71, 2,066.54 and 834.44

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Solution

The fourth proportional to 1,497.71, 2,066.54 and 834.44 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.71 : 2,066.54 = 834.44 : x
  2. Step 2: Convert to fraction form
    1,497.71/2,066.54 = 834.44/x
  3. Step 3: Cross multiply
    1,497.71x = 2,066.54 × 834.44
  4. Step 4: Simplify right side
    1,497.71x = 1,724,389.13
  5. Step 5: Solve for x
    x = 1,724,389.13/1,497.71
  6. Step 6: Final answer
    x = 1,151.35

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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.