Home / 1,032.14-1,548.01-301.55

Finding the Fourth Proportional to 1,032.14, 1,548.01 and 301.55

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Solution

The fourth proportional to 1,032.14, 1,548.01 and 301.55 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.14 : 1,548.01 = 301.55 : x
  2. Step 2: Convert to fraction form
    1,032.14/1,548.01 = 301.55/x
  3. Step 3: Cross multiply
    1,032.14x = 1,548.01 × 301.55
  4. Step 4: Simplify right side
    1,032.14x = 466,799.41
  5. Step 5: Solve for x
    x = 466,799.41/1,032.14
  6. Step 6: Final answer
    x = 452.26

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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.