Home / 1,154.25-1,731.41-288.56

Finding the Fourth Proportional to 1,154.25, 1,731.41 and 288.56

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Solution

The fourth proportional to 1,154.25, 1,731.41 and 288.56 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.25 : 1,731.41 = 288.56 : x
  2. Step 2: Convert to fraction form
    1,154.25/1,731.41 = 288.56/x
  3. Step 3: Cross multiply
    1,154.25x = 1,731.41 × 288.56
  4. Step 4: Simplify right side
    1,154.25x = 499,619.64
  5. Step 5: Solve for x
    x = 499,619.64/1,154.25
  6. Step 6: Final answer
    x = 432.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.