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Finding the Fourth Proportional to 1,184.91, 1,777.82 and 536.10

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Solution

The fourth proportional to 1,184.91, 1,777.82 and 536.10 is: 804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.91 : 1,777.82 = 536.10 : x
  2. Step 2: Convert to fraction form
    1,184.91/1,777.82 = 536.10/x
  3. Step 3: Cross multiply
    1,184.91x = 1,777.82 × 536.10
  4. Step 4: Simplify right side
    1,184.91x = 953,086.62
  5. Step 5: Solve for x
    x = 953,086.62/1,184.91
  6. Step 6: Final answer
    x = 804.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.