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Finding the Fourth Proportional to 1,238.91, 1,858.74 and 590.10

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Solution

The fourth proportional to 1,238.91, 1,858.74 and 590.10 is: 885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.91 : 1,858.74 = 590.10 : x
  2. Step 2: Convert to fraction form
    1,238.91/1,858.74 = 590.10/x
  3. Step 3: Cross multiply
    1,238.91x = 1,858.74 × 590.10
  4. Step 4: Simplify right side
    1,238.91x = 1,096,842.47
  5. Step 5: Solve for x
    x = 1,096,842.47/1,238.91
  6. Step 6: Final answer
    x = 885.33

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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.