Home / 1,464.10-2,020.41-800.93

Finding the Fourth Proportional to 1,464.10, 2,020.41 and 800.93

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Solution

The fourth proportional to 1,464.10, 2,020.41 and 800.93 is: 1,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.10 : 2,020.41 = 800.93 : x
  2. Step 2: Convert to fraction form
    1,464.10/2,020.41 = 800.93/x
  3. Step 3: Cross multiply
    1,464.10x = 2,020.41 × 800.93
  4. Step 4: Simplify right side
    1,464.10x = 1,618,212.03
  5. Step 5: Solve for x
    x = 1,618,212.03/1,464.10
  6. Step 6: Final answer
    x = 1,105.26

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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.