Home / 1,465.47-2,022.38-836.07

Finding the Fourth Proportional to 1,465.47, 2,022.38 and 836.07

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Solution

The fourth proportional to 1,465.47, 2,022.38 and 836.07 is: 1,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.47 : 2,022.38 = 836.07 : x
  2. Step 2: Convert to fraction form
    1,465.47/2,022.38 = 836.07/x
  3. Step 3: Cross multiply
    1,465.47x = 2,022.38 × 836.07
  4. Step 4: Simplify right side
    1,465.47x = 1,690,847.07
  5. Step 5: Solve for x
    x = 1,690,847.07/1,465.47
  6. Step 6: Final answer
    x = 1,153.79

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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.