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Finding the Fourth Proportional to 1,574.75, 2,363.21 and 548.75

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Solution

The fourth proportional to 1,574.75, 2,363.21 and 548.75 is: 823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.75 : 2,363.21 = 548.75 : x
  2. Step 2: Convert to fraction form
    1,574.75/2,363.21 = 548.75/x
  3. Step 3: Cross multiply
    1,574.75x = 2,363.21 × 548.75
  4. Step 4: Simplify right side
    1,574.75x = 1,296,811.49
  5. Step 5: Solve for x
    x = 1,296,811.49/1,574.75
  6. Step 6: Final answer
    x = 823.50

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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.