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Finding the Fourth Proportional to 1,290.46, 1,934.88 and 734.26

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Solution

The fourth proportional to 1,290.46, 1,934.88 and 734.26 is: 1,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.46 : 1,934.88 = 734.26 : x
  2. Step 2: Convert to fraction form
    1,290.46/1,934.88 = 734.26/x
  3. Step 3: Cross multiply
    1,290.46x = 1,934.88 × 734.26
  4. Step 4: Simplify right side
    1,290.46x = 1,420,704.99
  5. Step 5: Solve for x
    x = 1,420,704.99/1,290.46
  6. Step 6: Final answer
    x = 1,100.93

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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.