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Finding the Fourth Proportional to 1,237.16, 1,706.63 and 838.84

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Solution

The fourth proportional to 1,237.16, 1,706.63 and 838.84 is: 1,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.16 : 1,706.63 = 838.84 : x
  2. Step 2: Convert to fraction form
    1,237.16/1,706.63 = 838.84/x
  3. Step 3: Cross multiply
    1,237.16x = 1,706.63 × 838.84
  4. Step 4: Simplify right side
    1,237.16x = 1,431,589.51
  5. Step 5: Solve for x
    x = 1,431,589.51/1,237.16
  6. Step 6: Final answer
    x = 1,157.16

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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.