Home / 1,464.14-2,020.65-826.22

Finding the Fourth Proportional to 1,464.14, 2,020.65 and 826.22

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Solution

The fourth proportional to 1,464.14, 2,020.65 and 826.22 is: 1,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.14 : 2,020.65 = 826.22 : x
  2. Step 2: Convert to fraction form
    1,464.14/2,020.65 = 826.22/x
  3. Step 3: Cross multiply
    1,464.14x = 2,020.65 × 826.22
  4. Step 4: Simplify right side
    1,464.14x = 1,669,501.44
  5. Step 5: Solve for x
    x = 1,669,501.44/1,464.14
  6. Step 6: Final answer
    x = 1,140.26

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1.5x scale

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.