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Finding the Fourth Proportional to 878.91, 1,212.89 and 529.66

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Solution

The fourth proportional to 878.91, 1,212.89 and 529.66 is: 730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.91 : 1,212.89 = 529.66 : x
  2. Step 2: Convert to fraction form
    878.91/1,212.89 = 529.66/x
  3. Step 3: Cross multiply
    878.91x = 1,212.89 × 529.66
  4. Step 4: Simplify right side
    878.91x = 642,422.16
  5. Step 5: Solve for x
    x = 642,422.16/878.91
  6. Step 6: Final answer
    x = 730.93

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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.