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Finding the Fourth Proportional to 1,467.68, 2,202.48 and 697.76

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Solution

The fourth proportional to 1,467.68, 2,202.48 and 697.76 is: 1,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.68 : 2,202.48 = 697.76 : x
  2. Step 2: Convert to fraction form
    1,467.68/2,202.48 = 697.76/x
  3. Step 3: Cross multiply
    1,467.68x = 2,202.48 × 697.76
  4. Step 4: Simplify right side
    1,467.68x = 1,536,802.44
  5. Step 5: Solve for x
    x = 1,536,802.44/1,467.68
  6. Step 6: Final answer
    x = 1,047.10

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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.