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Finding the Fourth Proportional to 1,212.93, 1,674.11 and 835.32

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Solution

The fourth proportional to 1,212.93, 1,674.11 and 835.32 is: 1,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.93 : 1,674.11 = 835.32 : x
  2. Step 2: Convert to fraction form
    1,212.93/1,674.11 = 835.32/x
  3. Step 3: Cross multiply
    1,212.93x = 1,674.11 × 835.32
  4. Step 4: Simplify right side
    1,212.93x = 1,398,419.65
  5. Step 5: Solve for x
    x = 1,398,419.65/1,212.93
  6. Step 6: Final answer
    x = 1,152.93

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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.