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Finding the Fourth Proportional to 857.12, 1,284.80 and 446.72

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Solution

The fourth proportional to 857.12, 1,284.80 and 446.72 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.12 : 1,284.80 = 446.72 : x
  2. Step 2: Convert to fraction form
    857.12/1,284.80 = 446.72/x
  3. Step 3: Cross multiply
    857.12x = 1,284.80 × 446.72
  4. Step 4: Simplify right side
    857.12x = 573,937.20
  5. Step 5: Solve for x
    x = 573,937.20/857.12
  6. Step 6: Final answer
    x = 669.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.