Home / 1,020.03-1,530.16-326.54

Finding the Fourth Proportional to 1,020.03, 1,530.16 and 326.54

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Solution

The fourth proportional to 1,020.03, 1,530.16 and 326.54 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.03 : 1,530.16 = 326.54 : x
  2. Step 2: Convert to fraction form
    1,020.03/1,530.16 = 326.54/x
  3. Step 3: Cross multiply
    1,020.03x = 1,530.16 × 326.54
  4. Step 4: Simplify right side
    1,020.03x = 499,650.80
  5. Step 5: Solve for x
    x = 499,650.80/1,020.03
  6. Step 6: Final answer
    x = 489.84

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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.