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Finding the Fourth Proportional to 878.08, 1,316.49 and 415.62

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Solution

The fourth proportional to 878.08, 1,316.49 and 415.62 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.08 : 1,316.49 = 415.62 : x
  2. Step 2: Convert to fraction form
    878.08/1,316.49 = 415.62/x
  3. Step 3: Cross multiply
    878.08x = 1,316.49 × 415.62
  4. Step 4: Simplify right side
    878.08x = 547,152.99
  5. Step 5: Solve for x
    x = 547,152.99/878.08
  6. Step 6: Final answer
    x = 623.12

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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.