Home / 1,164.98-1,746.36-548.27

Finding the Fourth Proportional to 1,164.98, 1,746.36 and 548.27

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Solution

The fourth proportional to 1,164.98, 1,746.36 and 548.27 is: 821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.98 : 1,746.36 = 548.27 : x
  2. Step 2: Convert to fraction form
    1,164.98/1,746.36 = 548.27/x
  3. Step 3: Cross multiply
    1,164.98x = 1,746.36 × 548.27
  4. Step 4: Simplify right side
    1,164.98x = 957,474.61
  5. Step 5: Solve for x
    x = 957,474.61/1,164.98
  6. Step 6: Final answer
    x = 821.88

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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.