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Finding the Fourth Proportional to 1,029.38, 1,420.76 and 636.33

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Solution

The fourth proportional to 1,029.38, 1,420.76 and 636.33 is: 878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.38 : 1,420.76 = 636.33 : x
  2. Step 2: Convert to fraction form
    1,029.38/1,420.76 = 636.33/x
  3. Step 3: Cross multiply
    1,029.38x = 1,420.76 × 636.33
  4. Step 4: Simplify right side
    1,029.38x = 904,073.80
  5. Step 5: Solve for x
    x = 904,073.80/1,029.38
  6. Step 6: Final answer
    x = 878.27

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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.