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Finding the Fourth Proportional to 1,622.73, 2,433.83 and 526.94

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Solution

The fourth proportional to 1,622.73, 2,433.83 and 526.94 is: 790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.73 : 2,433.83 = 526.94 : x
  2. Step 2: Convert to fraction form
    1,622.73/2,433.83 = 526.94/x
  3. Step 3: Cross multiply
    1,622.73x = 2,433.83 × 526.94
  4. Step 4: Simplify right side
    1,622.73x = 1,282,467.58
  5. Step 5: Solve for x
    x = 1,282,467.58/1,622.73
  6. Step 6: Final answer
    x = 790.31

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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.