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Finding the Fourth Proportional to 1,234.55, 1,703.04 and 836.23

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Solution

The fourth proportional to 1,234.55, 1,703.04 and 836.23 is: 1,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.55 : 1,703.04 = 836.23 : x
  2. Step 2: Convert to fraction form
    1,234.55/1,703.04 = 836.23/x
  3. Step 3: Cross multiply
    1,234.55x = 1,703.04 × 836.23
  4. Step 4: Simplify right side
    1,234.55x = 1,424,133.14
  5. Step 5: Solve for x
    x = 1,424,133.14/1,234.55
  6. Step 6: Final answer
    x = 1,153.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.