Home / 1,102.73-1,521.52-926.35

Finding the Fourth Proportional to 1,102.73, 1,521.52 and 926.35

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Solution

The fourth proportional to 1,102.73, 1,521.52 and 926.35 is: 1,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.73 : 1,521.52 = 926.35 : x
  2. Step 2: Convert to fraction form
    1,102.73/1,521.52 = 926.35/x
  3. Step 3: Cross multiply
    1,102.73x = 1,521.52 × 926.35
  4. Step 4: Simplify right side
    1,102.73x = 1,409,453.93
  5. Step 5: Solve for x
    x = 1,409,453.93/1,102.73
  6. Step 6: Final answer
    x = 1,278.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.