Home / 1,032.20-1,547.82-301.60

Finding the Fourth Proportional to 1,032.20, 1,547.82 and 301.60

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Solution

The fourth proportional to 1,032.20, 1,547.82 and 301.60 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.20 : 1,547.82 = 301.60 : x
  2. Step 2: Convert to fraction form
    1,032.20/1,547.82 = 301.60/x
  3. Step 3: Cross multiply
    1,032.20x = 1,547.82 × 301.60
  4. Step 4: Simplify right side
    1,032.20x = 466,822.51
  5. Step 5: Solve for x
    x = 466,822.51/1,032.20
  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.