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Finding the Fourth Proportional to 920.23, 1,268.26 and 671.16

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Solution

The fourth proportional to 920.23, 1,268.26 and 671.16 is: 924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,268.26 = 671.16 : x
  2. Step 2: Convert to fraction form
    920.23/1,268.26 = 671.16/x
  3. Step 3: Cross multiply
    920.23x = 1,268.26 × 671.16
  4. Step 4: Simplify right side
    920.23x = 851,205.38
  5. Step 5: Solve for x
    x = 851,205.38/920.23
  6. Step 6: Final answer
    x = 924.99

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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.