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Finding the Fourth Proportional to 1,402.75, 2,104.13 and 376.75

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Solution

The fourth proportional to 1,402.75, 2,104.13 and 376.75 is: 565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.75 : 2,104.13 = 376.75 : x
  2. Step 2: Convert to fraction form
    1,402.75/2,104.13 = 376.75/x
  3. Step 3: Cross multiply
    1,402.75x = 2,104.13 × 376.75
  4. Step 4: Simplify right side
    1,402.75x = 792,730.98
  5. Step 5: Solve for x
    x = 792,730.98/1,402.75
  6. Step 6: Final answer
    x = 565.13

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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.