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Finding the Fourth Proportional to 1,148.97, 1,726.79 and 955.17

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Solution

The fourth proportional to 1,148.97, 1,726.79 and 955.17 is: 1,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.97 : 1,726.79 = 955.17 : x
  2. Step 2: Convert to fraction form
    1,148.97/1,726.79 = 955.17/x
  3. Step 3: Cross multiply
    1,148.97x = 1,726.79 × 955.17
  4. Step 4: Simplify right side
    1,148.97x = 1,649,373.23
  5. Step 5: Solve for x
    x = 1,649,373.23/1,148.97
  6. Step 6: Final answer
    x = 1,435.52

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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.