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Finding the Fourth Proportional to 857.03, 1,284.38 and 445.32

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Solution

The fourth proportional to 857.03, 1,284.38 and 445.32 is: 667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,284.38 = 445.32 : x
  2. Step 2: Convert to fraction form
    857.03/1,284.38 = 445.32/x
  3. Step 3: Cross multiply
    857.03x = 1,284.38 × 445.32
  4. Step 4: Simplify right side
    857.03x = 571,957.88
  5. Step 5: Solve for x
    x = 571,957.88/857.03
  6. Step 6: Final answer
    x = 667.38

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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.