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Finding the Fourth Proportional to 1,086.21, 1,498.10 and 693.77

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Solution

The fourth proportional to 1,086.21, 1,498.10 and 693.77 is: 956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.21 : 1,498.10 = 693.77 : x
  2. Step 2: Convert to fraction form
    1,086.21/1,498.10 = 693.77/x
  3. Step 3: Cross multiply
    1,086.21x = 1,498.10 × 693.77
  4. Step 4: Simplify right side
    1,086.21x = 1,039,325.88
  5. Step 5: Solve for x
    x = 1,039,325.88/1,086.21
  6. Step 6: Final answer
    x = 956.84

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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.