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Finding the Fourth Proportional to 1,305.50, 1,801.71 and 746.01

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Solution

The fourth proportional to 1,305.50, 1,801.71 and 746.01 is: 1,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.50 : 1,801.71 = 746.01 : x
  2. Step 2: Convert to fraction form
    1,305.50/1,801.71 = 746.01/x
  3. Step 3: Cross multiply
    1,305.50x = 1,801.71 × 746.01
  4. Step 4: Simplify right side
    1,305.50x = 1,344,093.68
  5. Step 5: Solve for x
    x = 1,344,093.68/1,305.50
  6. Step 6: Final answer
    x = 1,029.57

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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.