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Finding the Fourth Proportional to 857.93, 1,183.95 and 464.96

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Solution

The fourth proportional to 857.93, 1,183.95 and 464.96 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.93 : 1,183.95 = 464.96 : x
  2. Step 2: Convert to fraction form
    857.93/1,183.95 = 464.96/x
  3. Step 3: Cross multiply
    857.93x = 1,183.95 × 464.96
  4. Step 4: Simplify right side
    857.93x = 550,483.47
  5. Step 5: Solve for x
    x = 550,483.47/857.93
  6. Step 6: Final answer
    x = 641.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.