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Finding the Fourth Proportional to 1,086.87, 1,499.88 and 589.51

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Solution

The fourth proportional to 1,086.87, 1,499.88 and 589.51 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.87 : 1,499.88 = 589.51 : x
  2. Step 2: Convert to fraction form
    1,086.87/1,499.88 = 589.51/x
  3. Step 3: Cross multiply
    1,086.87x = 1,499.88 × 589.51
  4. Step 4: Simplify right side
    1,086.87x = 884,194.26
  5. Step 5: Solve for x
    x = 884,194.26/1,086.87
  6. Step 6: Final answer
    x = 813.52

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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.