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Finding the Fourth Proportional to 920.99, 1,270.47 and 605.93

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Solution

The fourth proportional to 920.99, 1,270.47 and 605.93 is: 835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.99 : 1,270.47 = 605.93 : x
  2. Step 2: Convert to fraction form
    920.99/1,270.47 = 605.93/x
  3. Step 3: Cross multiply
    920.99x = 1,270.47 × 605.93
  4. Step 4: Simplify right side
    920.99x = 769,809.53
  5. Step 5: Solve for x
    x = 769,809.53/920.99
  6. Step 6: Final answer
    x = 835.85

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