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Finding the Fourth Proportional to 1,387.21, 1,913.87 and 827.30

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Solution

The fourth proportional to 1,387.21, 1,913.87 and 827.30 is: 1,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.21 : 1,913.87 = 827.30 : x
  2. Step 2: Convert to fraction form
    1,387.21/1,913.87 = 827.30/x
  3. Step 3: Cross multiply
    1,387.21x = 1,913.87 × 827.30
  4. Step 4: Simplify right side
    1,387.21x = 1,583,344.65
  5. Step 5: Solve for x
    x = 1,583,344.65/1,387.21
  6. Step 6: Final answer
    x = 1,141.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.