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Finding the Fourth Proportional to 920.60, 1,268.70 and 762.68

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Solution

The fourth proportional to 920.60, 1,268.70 and 762.68 is: 1,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.60 : 1,268.70 = 762.68 : x
  2. Step 2: Convert to fraction form
    920.60/1,268.70 = 762.68/x
  3. Step 3: Cross multiply
    920.60x = 1,268.70 × 762.68
  4. Step 4: Simplify right side
    920.60x = 967,612.12
  5. Step 5: Solve for x
    x = 967,612.12/920.60
  6. Step 6: Final answer
    x = 1,051.07

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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.