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Finding the Fourth Proportional to 1,317.10, 1,975.65 and 343.13

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Solution

The fourth proportional to 1,317.10, 1,975.65 and 343.13 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.10 : 1,975.65 = 343.13 : x
  2. Step 2: Convert to fraction form
    1,317.10/1,975.65 = 343.13/x
  3. Step 3: Cross multiply
    1,317.10x = 1,975.65 × 343.13
  4. Step 4: Simplify right side
    1,317.10x = 677,895.55
  5. Step 5: Solve for x
    x = 677,895.55/1,317.10
  6. Step 6: Final answer
    x = 514.69

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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.