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Finding the Fourth Proportional to 4,664.34, 6,996.78 and 1,201.50

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Solution

The fourth proportional to 4,664.34, 6,996.78 and 1,201.50 is: 1,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.34 : 6,996.78 = 1,201.50 : x
  2. Step 2: Convert to fraction form
    4,664.34/6,996.78 = 1,201.50/x
  3. Step 3: Cross multiply
    4,664.34x = 6,996.78 × 1,201.50
  4. Step 4: Simplify right side
    4,664.34x = 8,406,631.17
  5. Step 5: Solve for x
    x = 8,406,631.17/4,664.34
  6. Step 6: Final answer
    x = 1,802.32

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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.