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Finding the Fourth Proportional to 1,313.67, 1,970.10 and 664.23

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Solution

The fourth proportional to 1,313.67, 1,970.10 and 664.23 is: 996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.67 : 1,970.10 = 664.23 : x
  2. Step 2: Convert to fraction form
    1,313.67/1,970.10 = 664.23/x
  3. Step 3: Cross multiply
    1,313.67x = 1,970.10 × 664.23
  4. Step 4: Simplify right side
    1,313.67x = 1,308,599.52
  5. Step 5: Solve for x
    x = 1,308,599.52/1,313.67
  6. Step 6: Final answer
    x = 996.14

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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.