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Finding the Fourth Proportional to 1,403.46, 2,102.73 and 672.06

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Solution

The fourth proportional to 1,403.46, 2,102.73 and 672.06 is: 1,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.46 : 2,102.73 = 672.06 : x
  2. Step 2: Convert to fraction form
    1,403.46/2,102.73 = 672.06/x
  3. Step 3: Cross multiply
    1,403.46x = 2,102.73 × 672.06
  4. Step 4: Simplify right side
    1,403.46x = 1,413,160.72
  5. Step 5: Solve for x
    x = 1,413,160.72/1,403.46
  6. Step 6: Final answer
    x = 1,006.91

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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.