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Finding the Fourth Proportional to 986.72, 1,360.35 and 809.01

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Solution

The fourth proportional to 986.72, 1,360.35 and 809.01 is: 1,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.72 : 1,360.35 = 809.01 : x
  2. Step 2: Convert to fraction form
    986.72/1,360.35 = 809.01/x
  3. Step 3: Cross multiply
    986.72x = 1,360.35 × 809.01
  4. Step 4: Simplify right side
    986.72x = 1,100,536.75
  5. Step 5: Solve for x
    x = 1,100,536.75/986.72
  6. Step 6: Final answer
    x = 1,115.35

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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.