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Finding the Fourth Proportional to 1,317.15, 1,817.50 and 757.49

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Solution

The fourth proportional to 1,317.15, 1,817.50 and 757.49 is: 1,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.15 : 1,817.50 = 757.49 : x
  2. Step 2: Convert to fraction form
    1,317.15/1,817.50 = 757.49/x
  3. Step 3: Cross multiply
    1,317.15x = 1,817.50 × 757.49
  4. Step 4: Simplify right side
    1,317.15x = 1,376,738.08
  5. Step 5: Solve for x
    x = 1,376,738.08/1,317.15
  6. Step 6: Final answer
    x = 1,045.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.