Home / 1,192.16-1,788.29-326.47

Finding the Fourth Proportional to 1,192.16, 1,788.29 and 326.47

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Solution

The fourth proportional to 1,192.16, 1,788.29 and 326.47 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.16 : 1,788.29 = 326.47 : x
  2. Step 2: Convert to fraction form
    1,192.16/1,788.29 = 326.47/x
  3. Step 3: Cross multiply
    1,192.16x = 1,788.29 × 326.47
  4. Step 4: Simplify right side
    1,192.16x = 583,823.04
  5. Step 5: Solve for x
    x = 583,823.04/1,192.16
  6. Step 6: Final answer
    x = 489.72

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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.