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Finding the Fourth Proportional to 857.14, 1,182.86 and 464.17

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Solution

The fourth proportional to 857.14, 1,182.86 and 464.17 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.14 : 1,182.86 = 464.17 : x
  2. Step 2: Convert to fraction form
    857.14/1,182.86 = 464.17/x
  3. Step 3: Cross multiply
    857.14x = 1,182.86 × 464.17
  4. Step 4: Simplify right side
    857.14x = 549,045.47
  5. Step 5: Solve for x
    x = 549,045.47/857.14
  6. Step 6: Final answer
    x = 640.55

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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.