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Finding the Fourth Proportional to 1,087.05, 1,500.14 and 589.69

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Solution

The fourth proportional to 1,087.05, 1,500.14 and 589.69 is: 813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.05 : 1,500.14 = 589.69 : x
  2. Step 2: Convert to fraction form
    1,087.05/1,500.14 = 589.69/x
  3. Step 3: Cross multiply
    1,087.05x = 1,500.14 × 589.69
  4. Step 4: Simplify right side
    1,087.05x = 884,614.61
  5. Step 5: Solve for x
    x = 884,614.61/1,087.05
  6. Step 6: Final answer
    x = 813.78

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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.