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Finding the Fourth Proportional to 1,369.92, 2,054.88 and 589.86

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Solution

The fourth proportional to 1,369.92, 2,054.88 and 589.86 is: 884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.92 : 2,054.88 = 589.86 : x
  2. Step 2: Convert to fraction form
    1,369.92/2,054.88 = 589.86/x
  3. Step 3: Cross multiply
    1,369.92x = 2,054.88 × 589.86
  4. Step 4: Simplify right side
    1,369.92x = 1,212,091.52
  5. Step 5: Solve for x
    x = 1,212,091.52/1,369.92
  6. Step 6: Final answer
    x = 884.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.