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Finding the Fourth Proportional to 1,087.07, 1,500.14 and 589.70

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Solution

The fourth proportional to 1,087.07, 1,500.14 and 589.70 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.07 : 1,500.14 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,087.07/1,500.14 = 589.70/x
  3. Step 3: Cross multiply
    1,087.07x = 1,500.14 × 589.70
  4. Step 4: Simplify right side
    1,087.07x = 884,637.78
  5. Step 5: Solve for x
    x = 884,637.78/1,087.07
  6. Step 6: Final answer
    x = 813.79

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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.