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Finding the Fourth Proportional to 1,310.26, 1,964.43 and 616.57

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Solution

The fourth proportional to 1,310.26, 1,964.43 and 616.57 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.26 : 1,964.43 = 616.57 : x
  2. Step 2: Convert to fraction form
    1,310.26/1,964.43 = 616.57/x
  3. Step 3: Cross multiply
    1,310.26x = 1,964.43 × 616.57
  4. Step 4: Simplify right side
    1,310.26x = 1,211,208.61
  5. Step 5: Solve for x
    x = 1,211,208.61/1,310.26
  6. Step 6: Final answer
    x = 924.40

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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.