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Finding the Fourth Proportional to 1,160.82, 1,602.69 and 719.37

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Solution

The fourth proportional to 1,160.82, 1,602.69 and 719.37 is: 993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,602.69 = 719.37 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,602.69 = 719.37/x
  3. Step 3: Cross multiply
    1,160.82x = 1,602.69 × 719.37
  4. Step 4: Simplify right side
    1,160.82x = 1,152,927.11
  5. Step 5: Solve for x
    x = 1,152,927.11/1,160.82
  6. Step 6: Final answer
    x = 993.20

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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.