Home / 1,032.04-1,548.30-301.60

Finding the Fourth Proportional to 1,032.04, 1,548.30 and 301.60

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Solution

The fourth proportional to 1,032.04, 1,548.30 and 301.60 is: 452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.04 : 1,548.30 = 301.60 : x
  2. Step 2: Convert to fraction form
    1,032.04/1,548.30 = 301.60/x
  3. Step 3: Cross multiply
    1,032.04x = 1,548.30 × 301.60
  4. Step 4: Simplify right side
    1,032.04x = 466,967.28
  5. Step 5: Solve for x
    x = 466,967.28/1,032.04
  6. Step 6: Final answer
    x = 452.47

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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.