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Finding the Fourth Proportional to 1,174.23, 1,754.06 and 1,000.08

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Solution

The fourth proportional to 1,174.23, 1,754.06 and 1,000.08 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.23 : 1,754.06 = 1,000.08 : x
  2. Step 2: Convert to fraction form
    1,174.23/1,754.06 = 1,000.08/x
  3. Step 3: Cross multiply
    1,174.23x = 1,754.06 × 1,000.08
  4. Step 4: Simplify right side
    1,174.23x = 1,754,195.32
  5. Step 5: Solve for x
    x = 1,754,195.32/1,174.23
  6. Step 6: Final answer
    x = 1,493.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.