Home / 1,534.26-2,298.51-765.30

Finding the Fourth Proportional to 1,534.26, 2,298.51 and 765.30

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Solution

The fourth proportional to 1,534.26, 2,298.51 and 765.30 is: 1,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.26 : 2,298.51 = 765.30 : x
  2. Step 2: Convert to fraction form
    1,534.26/2,298.51 = 765.30/x
  3. Step 3: Cross multiply
    1,534.26x = 2,298.51 × 765.30
  4. Step 4: Simplify right side
    1,534.26x = 1,759,049.70
  5. Step 5: Solve for x
    x = 1,759,049.70/1,534.26
  6. Step 6: Final answer
    x = 1,146.51

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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.