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Finding the Fourth Proportional to 1,063.62, 1,595.70 and 447

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Solution

The fourth proportional to 1,063.62, 1,595.70 and 447 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.62 : 1,595.70 = 447 : x
  2. Step 2: Convert to fraction form
    1,063.62/1,595.70 = 447/x
  3. Step 3: Cross multiply
    1,063.62x = 1,595.70 × 447
  4. Step 4: Simplify right side
    1,063.62x = 713,277.90
  5. Step 5: Solve for x
    x = 713,277.90/1,063.62
  6. Step 6: Final answer
    x = 670.61

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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.