Home / 1,464.02-2,020.23-800.85

Finding the Fourth Proportional to 1,464.02, 2,020.23 and 800.85

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Solution

The fourth proportional to 1,464.02, 2,020.23 and 800.85 is: 1,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.02 : 2,020.23 = 800.85 : x
  2. Step 2: Convert to fraction form
    1,464.02/2,020.23 = 800.85/x
  3. Step 3: Cross multiply
    1,464.02x = 2,020.23 × 800.85
  4. Step 4: Simplify right side
    1,464.02x = 1,617,901.20
  5. Step 5: Solve for x
    x = 1,617,901.20/1,464.02
  6. Step 6: Final answer
    x = 1,105.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.