Home / 1,465.24-2,022.08-844.24

Finding the Fourth Proportional to 1,465.24, 2,022.08 and 844.24

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Solution

The fourth proportional to 1,465.24, 2,022.08 and 844.24 is: 1,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.24 : 2,022.08 = 844.24 : x
  2. Step 2: Convert to fraction form
    1,465.24/2,022.08 = 844.24/x
  3. Step 3: Cross multiply
    1,465.24x = 2,022.08 × 844.24
  4. Step 4: Simplify right side
    1,465.24x = 1,707,120.82
  5. Step 5: Solve for x
    x = 1,707,120.82/1,465.24
  6. Step 6: Final answer
    x = 1,165.08

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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.