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Finding the Fourth Proportional to 857.23, 1,182.96 and 464.24

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Solution

The fourth proportional to 857.23, 1,182.96 and 464.24 is: 640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,182.96 = 464.24 : x
  2. Step 2: Convert to fraction form
    857.23/1,182.96 = 464.24/x
  3. Step 3: Cross multiply
    857.23x = 1,182.96 × 464.24
  4. Step 4: Simplify right side
    857.23x = 549,180.31
  5. Step 5: Solve for x
    x = 549,180.31/857.23
  6. Step 6: Final answer
    x = 640.65

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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.