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Finding the Fourth Proportional to 878.13, 1,211.98 and 524.08

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Solution

The fourth proportional to 878.13, 1,211.98 and 524.08 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.13 : 1,211.98 = 524.08 : x
  2. Step 2: Convert to fraction form
    878.13/1,211.98 = 524.08/x
  3. Step 3: Cross multiply
    878.13x = 1,211.98 × 524.08
  4. Step 4: Simplify right side
    878.13x = 635,170.14
  5. Step 5: Solve for x
    x = 635,170.14/878.13
  6. Step 6: Final answer
    x = 723.32

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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.