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Finding the Fourth Proportional to 1,048.54, 1,571.91 and 585.94

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Solution

The fourth proportional to 1,048.54, 1,571.91 and 585.94 is: 878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.54 : 1,571.91 = 585.94 : x
  2. Step 2: Convert to fraction form
    1,048.54/1,571.91 = 585.94/x
  3. Step 3: Cross multiply
    1,048.54x = 1,571.91 × 585.94
  4. Step 4: Simplify right side
    1,048.54x = 921,044.95
  5. Step 5: Solve for x
    x = 921,044.95/1,048.54
  6. Step 6: Final answer
    x = 878.41

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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.