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Finding the Fourth Proportional to 1,086.63, 1,499.54 and 589.26

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Solution

The fourth proportional to 1,086.63, 1,499.54 and 589.26 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.63 : 1,499.54 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,086.63/1,499.54 = 589.26/x
  3. Step 3: Cross multiply
    1,086.63x = 1,499.54 × 589.26
  4. Step 4: Simplify right side
    1,086.63x = 883,618.94
  5. Step 5: Solve for x
    x = 883,618.94/1,086.63
  6. Step 6: Final answer
    x = 813.17

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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.