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Finding the Fourth Proportional to 1,317.99, 1,977.03 and 496.07

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Solution

The fourth proportional to 1,317.99, 1,977.03 and 496.07 is: 744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.99 : 1,977.03 = 496.07 : x
  2. Step 2: Convert to fraction form
    1,317.99/1,977.03 = 496.07/x
  3. Step 3: Cross multiply
    1,317.99x = 1,977.03 × 496.07
  4. Step 4: Simplify right side
    1,317.99x = 980,735.39
  5. Step 5: Solve for x
    x = 980,735.39/1,317.99
  6. Step 6: Final answer
    x = 744.11

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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.