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Finding the Fourth Proportional to 876.96, 1,316.16 and 620.64

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Solution

The fourth proportional to 876.96, 1,316.16 and 620.64 is: 931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,316.16 = 620.64 : x
  2. Step 2: Convert to fraction form
    876.96/1,316.16 = 620.64/x
  3. Step 3: Cross multiply
    876.96x = 1,316.16 × 620.64
  4. Step 4: Simplify right side
    876.96x = 816,861.54
  5. Step 5: Solve for x
    x = 816,861.54/876.96
  6. Step 6: Final answer
    x = 931.47

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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.