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Finding the Fourth Proportional to 1,636.84, 2,455.60 and 663.02

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Solution

The fourth proportional to 1,636.84, 2,455.60 and 663.02 is: 994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.84 : 2,455.60 = 663.02 : x
  2. Step 2: Convert to fraction form
    1,636.84/2,455.60 = 663.02/x
  3. Step 3: Cross multiply
    1,636.84x = 2,455.60 × 663.02
  4. Step 4: Simplify right side
    1,636.84x = 1,628,111.91
  5. Step 5: Solve for x
    x = 1,628,111.91/1,636.84
  6. Step 6: Final answer
    x = 994.67

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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.