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Finding the Fourth Proportional to 1,467.16, 2,199.96 and 644.48

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Solution

The fourth proportional to 1,467.16, 2,199.96 and 644.48 is: 966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.16 : 2,199.96 = 644.48 : x
  2. Step 2: Convert to fraction form
    1,467.16/2,199.96 = 644.48/x
  3. Step 3: Cross multiply
    1,467.16x = 2,199.96 × 644.48
  4. Step 4: Simplify right side
    1,467.16x = 1,417,830.22
  5. Step 5: Solve for x
    x = 1,417,830.22/1,467.16
  6. Step 6: Final answer
    x = 966.38

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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.