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Finding the Fourth Proportional to 1,140.14, 1,709.99 and 318.26

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Solution

The fourth proportional to 1,140.14, 1,709.99 and 318.26 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.14 : 1,709.99 = 318.26 : x
  2. Step 2: Convert to fraction form
    1,140.14/1,709.99 = 318.26/x
  3. Step 3: Cross multiply
    1,140.14x = 1,709.99 × 318.26
  4. Step 4: Simplify right side
    1,140.14x = 544,211.28
  5. Step 5: Solve for x
    x = 544,211.28/1,140.14
  6. Step 6: Final answer
    x = 477.32

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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.