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Finding the Fourth Proportional to 1,733.87, 2,600.48 and 623.12

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Solution

The fourth proportional to 1,733.87, 2,600.48 and 623.12 is: 934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.87 : 2,600.48 = 623.12 : x
  2. Step 2: Convert to fraction form
    1,733.87/2,600.48 = 623.12/x
  3. Step 3: Cross multiply
    1,733.87x = 2,600.48 × 623.12
  4. Step 4: Simplify right side
    1,733.87x = 1,620,399.65
  5. Step 5: Solve for x
    x = 1,620,399.65/1,733.87
  6. Step 6: Final answer
    x = 934.56

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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.