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Finding the Fourth Proportional to 1,365.92, 2,048.88 and 585.86

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Solution

The fourth proportional to 1,365.92, 2,048.88 and 585.86 is: 878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.92 : 2,048.88 = 585.86 : x
  2. Step 2: Convert to fraction form
    1,365.92/2,048.88 = 585.86/x
  3. Step 3: Cross multiply
    1,365.92x = 2,048.88 × 585.86
  4. Step 4: Simplify right side
    1,365.92x = 1,200,346.59
  5. Step 5: Solve for x
    x = 1,200,346.59/1,365.92
  6. Step 6: Final answer
    x = 878.79

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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.