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Finding the Fourth Proportional to 1,367.46, 1,887.09 and 746.46

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Solution

The fourth proportional to 1,367.46, 1,887.09 and 746.46 is: 1,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.46 : 1,887.09 = 746.46 : x
  2. Step 2: Convert to fraction form
    1,367.46/1,887.09 = 746.46/x
  3. Step 3: Cross multiply
    1,367.46x = 1,887.09 × 746.46
  4. Step 4: Simplify right side
    1,367.46x = 1,408,637.20
  5. Step 5: Solve for x
    x = 1,408,637.20/1,367.46
  6. Step 6: Final answer
    x = 1,030.11

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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.