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Finding the Fourth Proportional to 1,086.35, 1,499.13 and 644.00

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Solution

The fourth proportional to 1,086.35, 1,499.13 and 644.00 is: 888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.35 : 1,499.13 = 644.00 : x
  2. Step 2: Convert to fraction form
    1,086.35/1,499.13 = 644.00/x
  3. Step 3: Cross multiply
    1,086.35x = 1,499.13 × 644.00
  4. Step 4: Simplify right side
    1,086.35x = 965,432.22
  5. Step 5: Solve for x
    x = 965,432.22/1,086.35
  6. Step 6: Final answer
    x = 888.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.