Home / 1,022.96-1,534.52-292.60

Finding the Fourth Proportional to 1,022.96, 1,534.52 and 292.60

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Solution

The fourth proportional to 1,022.96, 1,534.52 and 292.60 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.96 : 1,534.52 = 292.60 : x
  2. Step 2: Convert to fraction form
    1,022.96/1,534.52 = 292.60/x
  3. Step 3: Cross multiply
    1,022.96x = 1,534.52 × 292.60
  4. Step 4: Simplify right side
    1,022.96x = 448,992.88
  5. Step 5: Solve for x
    x = 448,992.88/1,022.96
  6. Step 6: Final answer
    x = 438.91

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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.