Home / 1,287.20-1,929.64-464.90

Finding the Fourth Proportional to 1,287.20, 1,929.64 and 464.90

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Solution

The fourth proportional to 1,287.20, 1,929.64 and 464.90 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.20 : 1,929.64 = 464.90 : x
  2. Step 2: Convert to fraction form
    1,287.20/1,929.64 = 464.90/x
  3. Step 3: Cross multiply
    1,287.20x = 1,929.64 × 464.90
  4. Step 4: Simplify right side
    1,287.20x = 897,089.64
  5. Step 5: Solve for x
    x = 897,089.64/1,287.20
  6. Step 6: Final answer
    x = 696.93

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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.