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Finding the Fourth Proportional to 1,352.90, 1,866.85 and 763.43

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Solution

The fourth proportional to 1,352.90, 1,866.85 and 763.43 is: 1,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.90 : 1,866.85 = 763.43 : x
  2. Step 2: Convert to fraction form
    1,352.90/1,866.85 = 763.43/x
  3. Step 3: Cross multiply
    1,352.90x = 1,866.85 × 763.43
  4. Step 4: Simplify right side
    1,352.90x = 1,425,198.05
  5. Step 5: Solve for x
    x = 1,425,198.05/1,352.90
  6. Step 6: Final answer
    x = 1,053.44

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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.