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Finding the Fourth Proportional to 857.71, 1,285.93 and 424.77

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Solution

The fourth proportional to 857.71, 1,285.93 and 424.77 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.71 : 1,285.93 = 424.77 : x
  2. Step 2: Convert to fraction form
    857.71/1,285.93 = 424.77/x
  3. Step 3: Cross multiply
    857.71x = 1,285.93 × 424.77
  4. Step 4: Simplify right side
    857.71x = 546,224.49
  5. Step 5: Solve for x
    x = 546,224.49/857.71
  6. Step 6: Final answer
    x = 636.84

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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.