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Finding the Fourth Proportional to 3,063.68, 4,595.17 and 842.75

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Solution

The fourth proportional to 3,063.68, 4,595.17 and 842.75 is: 1,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.68 : 4,595.17 = 842.75 : x
  2. Step 2: Convert to fraction form
    3,063.68/4,595.17 = 842.75/x
  3. Step 3: Cross multiply
    3,063.68x = 4,595.17 × 842.75
  4. Step 4: Simplify right side
    3,063.68x = 3,872,579.52
  5. Step 5: Solve for x
    x = 3,872,579.52/3,063.68
  6. Step 6: Final answer
    x = 1,264.03

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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.