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Finding the Fourth Proportional to 3,064.46, 4,595.83 and 842.75

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Solution

The fourth proportional to 3,064.46, 4,595.83 and 842.75 is: 1,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.46 : 4,595.83 = 842.75 : x
  2. Step 2: Convert to fraction form
    3,064.46/4,595.83 = 842.75/x
  3. Step 3: Cross multiply
    3,064.46x = 4,595.83 × 842.75
  4. Step 4: Simplify right side
    3,064.46x = 3,873,145.12
  5. Step 5: Solve for x
    x = 3,873,145.12/3,064.46
  6. Step 6: Final answer
    x = 1,263.89

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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.