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Finding the Fourth Proportional to 1,467.96, 2,201.88 and 602.25

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Solution

The fourth proportional to 1,467.96, 2,201.88 and 602.25 is: 903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.96 : 2,201.88 = 602.25 : x
  2. Step 2: Convert to fraction form
    1,467.96/2,201.88 = 602.25/x
  3. Step 3: Cross multiply
    1,467.96x = 2,201.88 × 602.25
  4. Step 4: Simplify right side
    1,467.96x = 1,326,082.23
  5. Step 5: Solve for x
    x = 1,326,082.23/1,467.96
  6. Step 6: Final answer
    x = 903.35

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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.