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Finding the Fourth Proportional to 1,260.58, 1,890.86 and 491.08

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Solution

The fourth proportional to 1,260.58, 1,890.86 and 491.08 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.58 : 1,890.86 = 491.08 : x
  2. Step 2: Convert to fraction form
    1,260.58/1,890.86 = 491.08/x
  3. Step 3: Cross multiply
    1,260.58x = 1,890.86 × 491.08
  4. Step 4: Simplify right side
    1,260.58x = 928,563.53
  5. Step 5: Solve for x
    x = 928,563.53/1,260.58
  6. Step 6: Final answer
    x = 736.62

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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.