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Finding the Fourth Proportional to 1,317.03, 1,975.53 and 343.10

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Solution

The fourth proportional to 1,317.03, 1,975.53 and 343.10 is: 514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.03 : 1,975.53 = 343.10 : x
  2. Step 2: Convert to fraction form
    1,317.03/1,975.53 = 343.10/x
  3. Step 3: Cross multiply
    1,317.03x = 1,975.53 × 343.10
  4. Step 4: Simplify right side
    1,317.03x = 677,794.47
  5. Step 5: Solve for x
    x = 677,794.47/1,317.03
  6. Step 6: Final answer
    x = 514.64

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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.