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Finding the Fourth Proportional to 3,020.52, 4,530.78 and 829.57

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Solution

The fourth proportional to 3,020.52, 4,530.78 and 829.57 is: 1,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.52 : 4,530.78 = 829.57 : x
  2. Step 2: Convert to fraction form
    3,020.52/4,530.78 = 829.57/x
  3. Step 3: Cross multiply
    3,020.52x = 4,530.78 × 829.57
  4. Step 4: Simplify right side
    3,020.52x = 3,758,599.16
  5. Step 5: Solve for x
    x = 3,758,599.16/3,020.52
  6. Step 6: Final answer
    x = 1,244.36

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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.