Home / 1,526.83-2,288.21-796.21

Finding the Fourth Proportional to 1,526.83, 2,288.21 and 796.21

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Solution

The fourth proportional to 1,526.83, 2,288.21 and 796.21 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.83 : 2,288.21 = 796.21 : x
  2. Step 2: Convert to fraction form
    1,526.83/2,288.21 = 796.21/x
  3. Step 3: Cross multiply
    1,526.83x = 2,288.21 × 796.21
  4. Step 4: Simplify right side
    1,526.83x = 1,821,886.23
  5. Step 5: Solve for x
    x = 1,821,886.23/1,526.83
  6. Step 6: Final answer
    x = 1,193.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.