Home / 1,528.25-2,108.98-829.63

Finding the Fourth Proportional to 1,528.25, 2,108.98 and 829.63

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Solution

The fourth proportional to 1,528.25, 2,108.98 and 829.63 is: 1,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.25 : 2,108.98 = 829.63 : x
  2. Step 2: Convert to fraction form
    1,528.25/2,108.98 = 829.63/x
  3. Step 3: Cross multiply
    1,528.25x = 2,108.98 × 829.63
  4. Step 4: Simplify right side
    1,528.25x = 1,749,673.08
  5. Step 5: Solve for x
    x = 1,749,673.08/1,528.25
  6. Step 6: Final answer
    x = 1,144.89

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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.