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Finding the Fourth Proportional to 1,087.19, 1,500.31 and 589.82

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Solution

The fourth proportional to 1,087.19, 1,500.31 and 589.82 is: 813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.19 : 1,500.31 = 589.82 : x
  2. Step 2: Convert to fraction form
    1,087.19/1,500.31 = 589.82/x
  3. Step 3: Cross multiply
    1,087.19x = 1,500.31 × 589.82
  4. Step 4: Simplify right side
    1,087.19x = 884,912.84
  5. Step 5: Solve for x
    x = 884,912.84/1,087.19
  6. Step 6: Final answer
    x = 813.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.