Home / 1,114.18-1,671.27-464.98

Finding the Fourth Proportional to 1,114.18, 1,671.27 and 464.98

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Solution

The fourth proportional to 1,114.18, 1,671.27 and 464.98 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.18 : 1,671.27 = 464.98 : x
  2. Step 2: Convert to fraction form
    1,114.18/1,671.27 = 464.98/x
  3. Step 3: Cross multiply
    1,114.18x = 1,671.27 × 464.98
  4. Step 4: Simplify right side
    1,114.18x = 777,107.12
  5. Step 5: Solve for x
    x = 777,107.12/1,114.18
  6. Step 6: Final answer
    x = 697.47

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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.