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Finding the Fourth Proportional to 1,161.72, 1,603.46 and 719.37

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Solution

The fourth proportional to 1,161.72, 1,603.46 and 719.37 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.72 : 1,603.46 = 719.37 : x
  2. Step 2: Convert to fraction form
    1,161.72/1,603.46 = 719.37/x
  3. Step 3: Cross multiply
    1,161.72x = 1,603.46 × 719.37
  4. Step 4: Simplify right side
    1,161.72x = 1,153,482.82
  5. Step 5: Solve for x
    x = 1,153,482.82/1,161.72
  6. Step 6: Final answer
    x = 992.91

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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.