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Finding the Fourth Proportional to 876.96, 1,316.08 and 443.68

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Solution

The fourth proportional to 876.96, 1,316.08 and 443.68 is: 665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,316.08 = 443.68 : x
  2. Step 2: Convert to fraction form
    876.96/1,316.08 = 443.68/x
  3. Step 3: Cross multiply
    876.96x = 1,316.08 × 443.68
  4. Step 4: Simplify right side
    876.96x = 583,918.37
  5. Step 5: Solve for x
    x = 583,918.37/876.96
  6. Step 6: Final answer
    x = 665.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.