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Finding the Fourth Proportional to 1,467.83, 2,202.20 and 602.21

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Solution

The fourth proportional to 1,467.83, 2,202.20 and 602.21 is: 903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.83 : 2,202.20 = 602.21 : x
  2. Step 2: Convert to fraction form
    1,467.83/2,202.20 = 602.21/x
  3. Step 3: Cross multiply
    1,467.83x = 2,202.20 × 602.21
  4. Step 4: Simplify right side
    1,467.83x = 1,326,186.86
  5. Step 5: Solve for x
    x = 1,326,186.86/1,467.83
  6. Step 6: Final answer
    x = 903.50

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1.5x scale

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.