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Finding the Fourth Proportional to 856.98, 1,182.65 and 464.02

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Solution

The fourth proportional to 856.98, 1,182.65 and 464.02 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,182.65 = 464.02 : x
  2. Step 2: Convert to fraction form
    856.98/1,182.65 = 464.02/x
  3. Step 3: Cross multiply
    856.98x = 1,182.65 × 464.02
  4. Step 4: Simplify right side
    856.98x = 548,773.25
  5. Step 5: Solve for x
    x = 548,773.25/856.98
  6. Step 6: Final answer
    x = 640.36

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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.