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Finding the Fourth Proportional to 1,048, 1,571.74 and 500

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Solution

The fourth proportional to 1,048, 1,571.74 and 500 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048 : 1,571.74 = 500 : x
  2. Step 2: Convert to fraction form
    1,048/1,571.74 = 500/x
  3. Step 3: Cross multiply
    1,048x = 1,571.74 × 500
  4. Step 4: Simplify right side
    1,048x = 785,870
  5. Step 5: Solve for x
    x = 785,870/1,048
  6. Step 6: Final answer
    x = 749.88

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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.