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Finding the Fourth Proportional to 663.84, 993.87 and 553.14

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Solution

The fourth proportional to 663.84, 993.87 and 553.14 is: 828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 993.87 = 553.14 : x
  2. Step 2: Convert to fraction form
    663.84/993.87 = 553.14/x
  3. Step 3: Cross multiply
    663.84x = 993.87 × 553.14
  4. Step 4: Simplify right side
    663.84x = 549,749.25
  5. Step 5: Solve for x
    x = 549,749.25/663.84
  6. Step 6: Final answer
    x = 828.14

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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.