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Finding the Fourth Proportional to 1,310.28, 1,964.67 and 530.66

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Solution

The fourth proportional to 1,310.28, 1,964.67 and 530.66 is: 795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.28 : 1,964.67 = 530.66 : x
  2. Step 2: Convert to fraction form
    1,310.28/1,964.67 = 530.66/x
  3. Step 3: Cross multiply
    1,310.28x = 1,964.67 × 530.66
  4. Step 4: Simplify right side
    1,310.28x = 1,042,571.78
  5. Step 5: Solve for x
    x = 1,042,571.78/1,310.28
  6. Step 6: Final answer
    x = 795.69

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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.