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Finding the Fourth Proportional to 878.67, 1,212.59 and 505.77

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Solution

The fourth proportional to 878.67, 1,212.59 and 505.77 is: 697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.67 : 1,212.59 = 505.77 : x
  2. Step 2: Convert to fraction form
    878.67/1,212.59 = 505.77/x
  3. Step 3: Cross multiply
    878.67x = 1,212.59 × 505.77
  4. Step 4: Simplify right side
    878.67x = 613,291.64
  5. Step 5: Solve for x
    x = 613,291.64/878.67
  6. Step 6: Final answer
    x = 697.98

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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.