Home / 1,025.18-1,539.89-997.84

Finding the Fourth Proportional to 1,025.18, 1,539.89 and 997.84

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Solution

The fourth proportional to 1,025.18, 1,539.89 and 997.84 is: 1,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.18 : 1,539.89 = 997.84 : x
  2. Step 2: Convert to fraction form
    1,025.18/1,539.89 = 997.84/x
  3. Step 3: Cross multiply
    1,025.18x = 1,539.89 × 997.84
  4. Step 4: Simplify right side
    1,025.18x = 1,536,551.15
  5. Step 5: Solve for x
    x = 1,536,551.15/1,025.18
  6. Step 6: Final answer
    x = 1,498.82

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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.