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Finding the Fourth Proportional to 1,284.68, 1,927.00 and 310.78

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Solution

The fourth proportional to 1,284.68, 1,927.00 and 310.78 is: 466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.68 : 1,927.00 = 310.78 : x
  2. Step 2: Convert to fraction form
    1,284.68/1,927.00 = 310.78/x
  3. Step 3: Cross multiply
    1,284.68x = 1,927.00 × 310.78
  4. Step 4: Simplify right side
    1,284.68x = 598,864.20
  5. Step 5: Solve for x
    x = 598,864.20/1,284.68
  6. Step 6: Final answer
    x = 466.16

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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.