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Finding the Fourth Proportional to 1,316.90, 1,975.46 and 343

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Solution

The fourth proportional to 1,316.90, 1,975.46 and 343 is: 514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.90 : 1,975.46 = 343 : x
  2. Step 2: Convert to fraction form
    1,316.90/1,975.46 = 343/x
  3. Step 3: Cross multiply
    1,316.90x = 1,975.46 × 343
  4. Step 4: Simplify right side
    1,316.90x = 677,583.64
  5. Step 5: Solve for x
    x = 677,583.64/1,316.90
  6. Step 6: Final answer
    x = 514.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.