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Finding the Fourth Proportional to 1,174.53, 1,770.44 and 1,075.94

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Solution

The fourth proportional to 1,174.53, 1,770.44 and 1,075.94 is: 1,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.53 : 1,770.44 = 1,075.94 : x
  2. Step 2: Convert to fraction form
    1,174.53/1,770.44 = 1,075.94/x
  3. Step 3: Cross multiply
    1,174.53x = 1,770.44 × 1,075.94
  4. Step 4: Simplify right side
    1,174.53x = 1,904,881.05
  5. Step 5: Solve for x
    x = 1,904,881.05/1,174.53
  6. Step 6: Final answer
    x = 1,621.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.