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Finding the Fourth Proportional to 1,180.91, 1,758.79 and 1,148.62

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Solution

The fourth proportional to 1,180.91, 1,758.79 and 1,148.62 is: 1,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.91 : 1,758.79 = 1,148.62 : x
  2. Step 2: Convert to fraction form
    1,180.91/1,758.79 = 1,148.62/x
  3. Step 3: Cross multiply
    1,180.91x = 1,758.79 × 1,148.62
  4. Step 4: Simplify right side
    1,180.91x = 2,020,181.37
  5. Step 5: Solve for x
    x = 2,020,181.37/1,180.91
  6. Step 6: Final answer
    x = 1,710.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.