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Finding the Fourth Proportional to 857.21, 1,182.95 and 464.23

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Solution

The fourth proportional to 857.21, 1,182.95 and 464.23 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.21 : 1,182.95 = 464.23 : x
  2. Step 2: Convert to fraction form
    857.21/1,182.95 = 464.23/x
  3. Step 3: Cross multiply
    857.21x = 1,182.95 × 464.23
  4. Step 4: Simplify right side
    857.21x = 549,160.88
  5. Step 5: Solve for x
    x = 549,160.88/857.21
  6. Step 6: Final answer
    x = 640.64

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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.