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Finding the Fourth Proportional to 1,063.54, 1,594.95 and 447.13

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Solution

The fourth proportional to 1,063.54, 1,594.95 and 447.13 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.54 : 1,594.95 = 447.13 : x
  2. Step 2: Convert to fraction form
    1,063.54/1,594.95 = 447.13/x
  3. Step 3: Cross multiply
    1,063.54x = 1,594.95 × 447.13
  4. Step 4: Simplify right side
    1,063.54x = 713,149.68
  5. Step 5: Solve for x
    x = 713,149.68/1,063.54
  6. Step 6: Final answer
    x = 670.54

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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.