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Finding the Fourth Proportional to 1,622.91, 2,433.84 and 527.04

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Solution

The fourth proportional to 1,622.91, 2,433.84 and 527.04 is: 790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.91 : 2,433.84 = 527.04 : x
  2. Step 2: Convert to fraction form
    1,622.91/2,433.84 = 527.04/x
  3. Step 3: Cross multiply
    1,622.91x = 2,433.84 × 527.04
  4. Step 4: Simplify right side
    1,622.91x = 1,282,731.03
  5. Step 5: Solve for x
    x = 1,282,731.03/1,622.91
  6. Step 6: Final answer
    x = 790.39

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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.