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Finding the Fourth Proportional to 854.37, 1,179.47 and 591.93

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Solution

The fourth proportional to 854.37, 1,179.47 and 591.93 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.37 : 1,179.47 = 591.93 : x
  2. Step 2: Convert to fraction form
    854.37/1,179.47 = 591.93/x
  3. Step 3: Cross multiply
    854.37x = 1,179.47 × 591.93
  4. Step 4: Simplify right side
    854.37x = 698,160.72
  5. Step 5: Solve for x
    x = 698,160.72/854.37
  6. Step 6: Final answer
    x = 817.16

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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.