Home / 1,159.45-1,738.09-428.83

Finding the Fourth Proportional to 1,159.45, 1,738.09 and 428.83

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Solution

The fourth proportional to 1,159.45, 1,738.09 and 428.83 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.45 : 1,738.09 = 428.83 : x
  2. Step 2: Convert to fraction form
    1,159.45/1,738.09 = 428.83/x
  3. Step 3: Cross multiply
    1,159.45x = 1,738.09 × 428.83
  4. Step 4: Simplify right side
    1,159.45x = 745,339.72
  5. Step 5: Solve for x
    x = 745,339.72/1,159.45
  6. Step 6: Final answer
    x = 642.84

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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.