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Finding the Fourth Proportional to 1,284.55, 1,926.81 and 310.65

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Solution

The fourth proportional to 1,284.55, 1,926.81 and 310.65 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.55 : 1,926.81 = 310.65 : x
  2. Step 2: Convert to fraction form
    1,284.55/1,926.81 = 310.65/x
  3. Step 3: Cross multiply
    1,284.55x = 1,926.81 × 310.65
  4. Step 4: Simplify right side
    1,284.55x = 598,557.64
  5. Step 5: Solve for x
    x = 598,557.64/1,284.55
  6. Step 6: Final answer
    x = 465.97

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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.