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Finding the Fourth Proportional to 1,091.44, 1,506.80 and 838.90

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Solution

The fourth proportional to 1,091.44, 1,506.80 and 838.90 is: 1,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.44 : 1,506.80 = 838.90 : x
  2. Step 2: Convert to fraction form
    1,091.44/1,506.80 = 838.90/x
  3. Step 3: Cross multiply
    1,091.44x = 1,506.80 × 838.90
  4. Step 4: Simplify right side
    1,091.44x = 1,264,054.52
  5. Step 5: Solve for x
    x = 1,264,054.52/1,091.44
  6. Step 6: Final answer
    x = 1,158.15

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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.