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Finding the Fourth Proportional to 878.37, 1,316.93 and 415.89

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Solution

The fourth proportional to 878.37, 1,316.93 and 415.89 is: 623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.37 : 1,316.93 = 415.89 : x
  2. Step 2: Convert to fraction form
    878.37/1,316.93 = 415.89/x
  3. Step 3: Cross multiply
    878.37x = 1,316.93 × 415.89
  4. Step 4: Simplify right side
    878.37x = 547,698.02
  5. Step 5: Solve for x
    x = 547,698.02/878.37
  6. Step 6: Final answer
    x = 623.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.