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Finding the Fourth Proportional to 1,467.63, 2,200.14 and 646.02

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Solution

The fourth proportional to 1,467.63, 2,200.14 and 646.02 is: 968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.63 : 2,200.14 = 646.02 : x
  2. Step 2: Convert to fraction form
    1,467.63/2,200.14 = 646.02/x
  3. Step 3: Cross multiply
    1,467.63x = 2,200.14 × 646.02
  4. Step 4: Simplify right side
    1,467.63x = 1,421,334.44
  5. Step 5: Solve for x
    x = 1,421,334.44/1,467.63
  6. Step 6: Final answer
    x = 968.46

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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.