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Finding the Fourth Proportional to 878.40, 1,318.25 and 549.81

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Solution

The fourth proportional to 878.40, 1,318.25 and 549.81 is: 825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.40 : 1,318.25 = 549.81 : x
  2. Step 2: Convert to fraction form
    878.40/1,318.25 = 549.81/x
  3. Step 3: Cross multiply
    878.40x = 1,318.25 × 549.81
  4. Step 4: Simplify right side
    878.40x = 724,788.41
  5. Step 5: Solve for x
    x = 724,788.41/878.40
  6. Step 6: Final answer
    x = 825.12

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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.