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Finding the Fourth Proportional to 1,151.58, 1,726.77 and 786.48

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Solution

The fourth proportional to 1,151.58, 1,726.77 and 786.48 is: 1,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.58 : 1,726.77 = 786.48 : x
  2. Step 2: Convert to fraction form
    1,151.58/1,726.77 = 786.48/x
  3. Step 3: Cross multiply
    1,151.58x = 1,726.77 × 786.48
  4. Step 4: Simplify right side
    1,151.58x = 1,358,070.07
  5. Step 5: Solve for x
    x = 1,358,070.07/1,151.58
  6. Step 6: Final answer
    x = 1,179.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.