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Finding the Fourth Proportional to 1,492.51, 2,237.82 and 712.03

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Solution

The fourth proportional to 1,492.51, 2,237.82 and 712.03 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.51 : 2,237.82 = 712.03 : x
  2. Step 2: Convert to fraction form
    1,492.51/2,237.82 = 712.03/x
  3. Step 3: Cross multiply
    1,492.51x = 2,237.82 × 712.03
  4. Step 4: Simplify right side
    1,492.51x = 1,593,394.97
  5. Step 5: Solve for x
    x = 1,593,394.97/1,492.51
  6. Step 6: Final answer
    x = 1,067.59

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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.