Home / 1,032.23-1,548.14-511.68

Finding the Fourth Proportional to 1,032.23, 1,548.14 and 511.68

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Solution

The fourth proportional to 1,032.23, 1,548.14 and 511.68 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.23 : 1,548.14 = 511.68 : x
  2. Step 2: Convert to fraction form
    1,032.23/1,548.14 = 511.68/x
  3. Step 3: Cross multiply
    1,032.23x = 1,548.14 × 511.68
  4. Step 4: Simplify right side
    1,032.23x = 792,149.72
  5. Step 5: Solve for x
    x = 792,149.72/1,032.23
  6. Step 6: Final answer
    x = 767.42

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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.