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Finding the Fourth Proportional to 1,315.62, 1,973.40 and 827.64

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Solution

The fourth proportional to 1,315.62, 1,973.40 and 827.64 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.62 : 1,973.40 = 827.64 : x
  2. Step 2: Convert to fraction form
    1,315.62/1,973.40 = 827.64/x
  3. Step 3: Cross multiply
    1,315.62x = 1,973.40 × 827.64
  4. Step 4: Simplify right side
    1,315.62x = 1,633,264.78
  5. Step 5: Solve for x
    x = 1,633,264.78/1,315.62
  6. Step 6: Final answer
    x = 1,241.44

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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.