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Finding the Fourth Proportional to 1,775.38, 2,662.98 and 735.52

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Solution

The fourth proportional to 1,775.38, 2,662.98 and 735.52 is: 1,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.38 : 2,662.98 = 735.52 : x
  2. Step 2: Convert to fraction form
    1,775.38/2,662.98 = 735.52/x
  3. Step 3: Cross multiply
    1,775.38x = 2,662.98 × 735.52
  4. Step 4: Simplify right side
    1,775.38x = 1,958,675.05
  5. Step 5: Solve for x
    x = 1,958,675.05/1,775.38
  6. Step 6: Final answer
    x = 1,103.24

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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.