Home / 1,528.09-2,108.75-829.46

Finding the Fourth Proportional to 1,528.09, 2,108.75 and 829.46

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Solution

The fourth proportional to 1,528.09, 2,108.75 and 829.46 is: 1,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.09 : 2,108.75 = 829.46 : x
  2. Step 2: Convert to fraction form
    1,528.09/2,108.75 = 829.46/x
  3. Step 3: Cross multiply
    1,528.09x = 2,108.75 × 829.46
  4. Step 4: Simplify right side
    1,528.09x = 1,749,124.90
  5. Step 5: Solve for x
    x = 1,749,124.90/1,528.09
  6. Step 6: Final answer
    x = 1,144.65

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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.