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Finding the Fourth Proportional to 3,042.58, 4,563.87 and 734.08

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Solution

The fourth proportional to 3,042.58, 4,563.87 and 734.08 is: 1,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.58 : 4,563.87 = 734.08 : x
  2. Step 2: Convert to fraction form
    3,042.58/4,563.87 = 734.08/x
  3. Step 3: Cross multiply
    3,042.58x = 4,563.87 × 734.08
  4. Step 4: Simplify right side
    3,042.58x = 3,350,245.69
  5. Step 5: Solve for x
    x = 3,350,245.69/3,042.58
  6. Step 6: Final answer
    x = 1,101.12

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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.