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Finding the Fourth Proportional to 1,210.93, 1,670.46 and 791.53

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Solution

The fourth proportional to 1,210.93, 1,670.46 and 791.53 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.93 : 1,670.46 = 791.53 : x
  2. Step 2: Convert to fraction form
    1,210.93/1,670.46 = 791.53/x
  3. Step 3: Cross multiply
    1,210.93x = 1,670.46 × 791.53
  4. Step 4: Simplify right side
    1,210.93x = 1,322,218.74
  5. Step 5: Solve for x
    x = 1,322,218.74/1,210.93
  6. Step 6: Final answer
    x = 1,091.90

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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.