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Finding the Fourth Proportional to 1,307.90, 1,960.74 and 759.42

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Solution

The fourth proportional to 1,307.90, 1,960.74 and 759.42 is: 1,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.90 : 1,960.74 = 759.42 : x
  2. Step 2: Convert to fraction form
    1,307.90/1,960.74 = 759.42/x
  3. Step 3: Cross multiply
    1,307.90x = 1,960.74 × 759.42
  4. Step 4: Simplify right side
    1,307.90x = 1,489,025.17
  5. Step 5: Solve for x
    x = 1,489,025.17/1,307.90
  6. Step 6: Final answer
    x = 1,138.49

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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.