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Finding the Fourth Proportional to 1,307.56, 1,960.24 and 613.88

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Solution

The fourth proportional to 1,307.56, 1,960.24 and 613.88 is: 920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.56 : 1,960.24 = 613.88 : x
  2. Step 2: Convert to fraction form
    1,307.56/1,960.24 = 613.88/x
  3. Step 3: Cross multiply
    1,307.56x = 1,960.24 × 613.88
  4. Step 4: Simplify right side
    1,307.56x = 1,203,352.13
  5. Step 5: Solve for x
    x = 1,203,352.13/1,307.56
  6. Step 6: Final answer
    x = 920.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.