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Finding the Fourth Proportional to 1,315.80, 1,973.64 and 827.34

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Solution

The fourth proportional to 1,315.80, 1,973.64 and 827.34 is: 1,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.80 : 1,973.64 = 827.34 : x
  2. Step 2: Convert to fraction form
    1,315.80/1,973.64 = 827.34/x
  3. Step 3: Cross multiply
    1,315.80x = 1,973.64 × 827.34
  4. Step 4: Simplify right side
    1,315.80x = 1,632,871.32
  5. Step 5: Solve for x
    x = 1,632,871.32/1,315.80
  6. Step 6: Final answer
    x = 1,240.97

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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.