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Finding the Fourth Proportional to 1,754.92, 2,632.49 and 584.87

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Solution

The fourth proportional to 1,754.92, 2,632.49 and 584.87 is: 877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.92 : 2,632.49 = 584.87 : x
  2. Step 2: Convert to fraction form
    1,754.92/2,632.49 = 584.87/x
  3. Step 3: Cross multiply
    1,754.92x = 2,632.49 × 584.87
  4. Step 4: Simplify right side
    1,754.92x = 1,539,664.43
  5. Step 5: Solve for x
    x = 1,539,664.43/1,754.92
  6. Step 6: Final answer
    x = 877.34

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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.