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Finding the Fourth Proportional to 996.16, 1,374.72 and 554.10

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Solution

The fourth proportional to 996.16, 1,374.72 and 554.10 is: 764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,374.72 = 554.10 : x
  2. Step 2: Convert to fraction form
    996.16/1,374.72 = 554.10/x
  3. Step 3: Cross multiply
    996.16x = 1,374.72 × 554.10
  4. Step 4: Simplify right side
    996.16x = 761,732.35
  5. Step 5: Solve for x
    x = 761,732.35/996.16
  6. Step 6: Final answer
    x = 764.67

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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.