Home / 1,528.06-2,108.73-829.44

Finding the Fourth Proportional to 1,528.06, 2,108.73 and 829.44

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Solution

The fourth proportional to 1,528.06, 2,108.73 and 829.44 is: 1,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.06 : 2,108.73 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,528.06/2,108.73 = 829.44/x
  3. Step 3: Cross multiply
    1,528.06x = 2,108.73 × 829.44
  4. Step 4: Simplify right side
    1,528.06x = 1,749,065.01
  5. Step 5: Solve for x
    x = 1,749,065.01/1,528.06
  6. Step 6: Final answer
    x = 1,144.63

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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.