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Finding the Fourth Proportional to 1,063.90, 1,596.46 and 447.54

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Solution

The fourth proportional to 1,063.90, 1,596.46 and 447.54 is: 671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.90 : 1,596.46 = 447.54 : x
  2. Step 2: Convert to fraction form
    1,063.90/1,596.46 = 447.54/x
  3. Step 3: Cross multiply
    1,063.90x = 1,596.46 × 447.54
  4. Step 4: Simplify right side
    1,063.90x = 714,479.71
  5. Step 5: Solve for x
    x = 714,479.71/1,063.90
  6. Step 6: Final answer
    x = 671.57

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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.