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Finding the Fourth Proportional to 1,291.14, 1,781.64 and 767.07

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Solution

The fourth proportional to 1,291.14, 1,781.64 and 767.07 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.14 : 1,781.64 = 767.07 : x
  2. Step 2: Convert to fraction form
    1,291.14/1,781.64 = 767.07/x
  3. Step 3: Cross multiply
    1,291.14x = 1,781.64 × 767.07
  4. Step 4: Simplify right side
    1,291.14x = 1,366,642.59
  5. Step 5: Solve for x
    x = 1,366,642.59/1,291.14
  6. Step 6: Final answer
    x = 1,058.48

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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.