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Finding the Fourth Proportional to 857.64, 1,285.26 and 424.36

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Solution

The fourth proportional to 857.64, 1,285.26 and 424.36 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,285.26 = 424.36 : x
  2. Step 2: Convert to fraction form
    857.64/1,285.26 = 424.36/x
  3. Step 3: Cross multiply
    857.64x = 1,285.26 × 424.36
  4. Step 4: Simplify right side
    857.64x = 545,412.93
  5. Step 5: Solve for x
    x = 545,412.93/857.64
  6. Step 6: Final answer
    x = 635.95

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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.