Home / 1,110.13-1,664.25-524.83

Finding the Fourth Proportional to 1,110.13, 1,664.25 and 524.83

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Solution

The fourth proportional to 1,110.13, 1,664.25 and 524.83 is: 786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.13 : 1,664.25 = 524.83 : x
  2. Step 2: Convert to fraction form
    1,110.13/1,664.25 = 524.83/x
  3. Step 3: Cross multiply
    1,110.13x = 1,664.25 × 524.83
  4. Step 4: Simplify right side
    1,110.13x = 873,448.33
  5. Step 5: Solve for x
    x = 873,448.33/1,110.13
  6. Step 6: Final answer
    x = 786.80

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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.