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Finding the Fourth Proportional to 855.21, 1,178.47 and 592.77

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Solution

The fourth proportional to 855.21, 1,178.47 and 592.77 is: 816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.21 : 1,178.47 = 592.77 : x
  2. Step 2: Convert to fraction form
    855.21/1,178.47 = 592.77/x
  3. Step 3: Cross multiply
    855.21x = 1,178.47 × 592.77
  4. Step 4: Simplify right side
    855.21x = 698,561.86
  5. Step 5: Solve for x
    x = 698,561.86/855.21
  6. Step 6: Final answer
    x = 816.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.