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Finding the Fourth Proportional to 1,622.02, 2,433.03 and 467.77

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Solution

The fourth proportional to 1,622.02, 2,433.03 and 467.77 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.02 : 2,433.03 = 467.77 : x
  2. Step 2: Convert to fraction form
    1,622.02/2,433.03 = 467.77/x
  3. Step 3: Cross multiply
    1,622.02x = 2,433.03 × 467.77
  4. Step 4: Simplify right side
    1,622.02x = 1,138,098.44
  5. Step 5: Solve for x
    x = 1,138,098.44/1,622.02
  6. Step 6: Final answer
    x = 701.66

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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.