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Finding the Fourth Proportional to 1,086.16, 1,498.92 and 644.40

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Solution

The fourth proportional to 1,086.16, 1,498.92 and 644.40 is: 889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.16 : 1,498.92 = 644.40 : x
  2. Step 2: Convert to fraction form
    1,086.16/1,498.92 = 644.40/x
  3. Step 3: Cross multiply
    1,086.16x = 1,498.92 × 644.40
  4. Step 4: Simplify right side
    1,086.16x = 965,904.05
  5. Step 5: Solve for x
    x = 965,904.05/1,086.16
  6. Step 6: Final answer
    x = 889.28

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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.