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Finding the Fourth Proportional to 1,174.19, 1,763.01 and 1,153.45

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Solution

The fourth proportional to 1,174.19, 1,763.01 and 1,153.45 is: 1,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.19 : 1,763.01 = 1,153.45 : x
  2. Step 2: Convert to fraction form
    1,174.19/1,763.01 = 1,153.45/x
  3. Step 3: Cross multiply
    1,174.19x = 1,763.01 × 1,153.45
  4. Step 4: Simplify right side
    1,174.19x = 2,033,543.88
  5. Step 5: Solve for x
    x = 2,033,543.88/1,174.19
  6. Step 6: Final answer
    x = 1,731.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.