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Finding the Fourth Proportional to 1,180.70, 1,770.94 and 486.93

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Solution

The fourth proportional to 1,180.70, 1,770.94 and 486.93 is: 730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.70 : 1,770.94 = 486.93 : x
  2. Step 2: Convert to fraction form
    1,180.70/1,770.94 = 486.93/x
  3. Step 3: Cross multiply
    1,180.70x = 1,770.94 × 486.93
  4. Step 4: Simplify right side
    1,180.70x = 862,323.81
  5. Step 5: Solve for x
    x = 862,323.81/1,180.70
  6. Step 6: Final answer
    x = 730.35

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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.