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Finding the Fourth Proportional to 1,086.85, 1,498.68 and 1,064.06

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Solution

The fourth proportional to 1,086.85, 1,498.68 and 1,064.06 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.85 : 1,498.68 = 1,064.06 : x
  2. Step 2: Convert to fraction form
    1,086.85/1,498.68 = 1,064.06/x
  3. Step 3: Cross multiply
    1,086.85x = 1,498.68 × 1,064.06
  4. Step 4: Simplify right side
    1,086.85x = 1,594,685.44
  5. Step 5: Solve for x
    x = 1,594,685.44/1,086.85
  6. Step 6: Final answer
    x = 1,467.25

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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.