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Finding the Fourth Proportional to 1,366.15, 2,048.78 and 585.94

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Solution

The fourth proportional to 1,366.15, 2,048.78 and 585.94 is: 878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.15 : 2,048.78 = 585.94 : x
  2. Step 2: Convert to fraction form
    1,366.15/2,048.78 = 585.94/x
  3. Step 3: Cross multiply
    1,366.15x = 2,048.78 × 585.94
  4. Step 4: Simplify right side
    1,366.15x = 1,200,458.50
  5. Step 5: Solve for x
    x = 1,200,458.50/1,366.15
  6. Step 6: Final answer
    x = 878.72

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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.