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Finding the Fourth Proportional to 1,090.23, 1,503.70 and 838.11

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Solution

The fourth proportional to 1,090.23, 1,503.70 and 838.11 is: 1,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.23 : 1,503.70 = 838.11 : x
  2. Step 2: Convert to fraction form
    1,090.23/1,503.70 = 838.11/x
  3. Step 3: Cross multiply
    1,090.23x = 1,503.70 × 838.11
  4. Step 4: Simplify right side
    1,090.23x = 1,260,269.55
  5. Step 5: Solve for x
    x = 1,260,269.55/1,090.23
  6. Step 6: Final answer
    x = 1,155.97

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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.