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Finding the Fourth Proportional to 1,745.68, 2,618.48 and 447.14

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Solution

The fourth proportional to 1,745.68, 2,618.48 and 447.14 is: 670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.68 : 2,618.48 = 447.14 : x
  2. Step 2: Convert to fraction form
    1,745.68/2,618.48 = 447.14/x
  3. Step 3: Cross multiply
    1,745.68x = 2,618.48 × 447.14
  4. Step 4: Simplify right side
    1,745.68x = 1,170,827.15
  5. Step 5: Solve for x
    x = 1,170,827.15/1,745.68
  6. Step 6: Final answer
    x = 670.70

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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.