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Finding the Fourth Proportional to 878.26, 1,316.35 and 488.16

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Solution

The fourth proportional to 878.26, 1,316.35 and 488.16 is: 731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.26 : 1,316.35 = 488.16 : x
  2. Step 2: Convert to fraction form
    878.26/1,316.35 = 488.16/x
  3. Step 3: Cross multiply
    878.26x = 1,316.35 × 488.16
  4. Step 4: Simplify right side
    878.26x = 642,590.03
  5. Step 5: Solve for x
    x = 642,590.03/878.26
  6. Step 6: Final answer
    x = 731.66

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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.