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Finding the Fourth Proportional to 1,317.13, 1,975.03 and 439.33

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Solution

The fourth proportional to 1,317.13, 1,975.03 and 439.33 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.13 : 1,975.03 = 439.33 : x
  2. Step 2: Convert to fraction form
    1,317.13/1,975.03 = 439.33/x
  3. Step 3: Cross multiply
    1,317.13x = 1,975.03 × 439.33
  4. Step 4: Simplify right side
    1,317.13x = 867,686.67
  5. Step 5: Solve for x
    x = 867,686.67/1,317.13
  6. Step 6: Final answer
    x = 658.77

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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.