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Finding the Fourth Proportional to 920.51, 1,269.54 and 621.65

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Solution

The fourth proportional to 920.51, 1,269.54 and 621.65 is: 857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.51 : 1,269.54 = 621.65 : x
  2. Step 2: Convert to fraction form
    920.51/1,269.54 = 621.65/x
  3. Step 3: Cross multiply
    920.51x = 1,269.54 × 621.65
  4. Step 4: Simplify right side
    920.51x = 789,212.71
  5. Step 5: Solve for x
    x = 789,212.71/920.51
  6. Step 6: Final answer
    x = 857.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.