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Finding the Fourth Proportional to 1,086.91, 1,499.94 and 589.55

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Solution

The fourth proportional to 1,086.91, 1,499.94 and 589.55 is: 813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.91 : 1,499.94 = 589.55 : x
  2. Step 2: Convert to fraction form
    1,086.91/1,499.94 = 589.55/x
  3. Step 3: Cross multiply
    1,086.91x = 1,499.94 × 589.55
  4. Step 4: Simplify right side
    1,086.91x = 884,289.63
  5. Step 5: Solve for x
    x = 884,289.63/1,086.91
  6. Step 6: Final answer
    x = 813.58

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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.