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Finding the Fourth Proportional to 1,146.58, 1,726.07 and 1,044.52

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Solution

The fourth proportional to 1,146.58, 1,726.07 and 1,044.52 is: 1,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.58 : 1,726.07 = 1,044.52 : x
  2. Step 2: Convert to fraction form
    1,146.58/1,726.07 = 1,044.52/x
  3. Step 3: Cross multiply
    1,146.58x = 1,726.07 × 1,044.52
  4. Step 4: Simplify right side
    1,146.58x = 1,802,914.64
  5. Step 5: Solve for x
    x = 1,802,914.64/1,146.58
  6. Step 6: Final answer
    x = 1,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.