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Finding the Fourth Proportional to 1,086.03, 1,498.55 and 613.83

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Solution

The fourth proportional to 1,086.03, 1,498.55 and 613.83 is: 846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.03 : 1,498.55 = 613.83 : x
  2. Step 2: Convert to fraction form
    1,086.03/1,498.55 = 613.83/x
  3. Step 3: Cross multiply
    1,086.03x = 1,498.55 × 613.83
  4. Step 4: Simplify right side
    1,086.03x = 919,851.88
  5. Step 5: Solve for x
    x = 919,851.88/1,086.03
  6. Step 6: Final answer
    x = 846.99

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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.