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Finding the Fourth Proportional to 1,313.99, 1,970.95 and 326.77

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Solution

The fourth proportional to 1,313.99, 1,970.95 and 326.77 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.99 : 1,970.95 = 326.77 : x
  2. Step 2: Convert to fraction form
    1,313.99/1,970.95 = 326.77/x
  3. Step 3: Cross multiply
    1,313.99x = 1,970.95 × 326.77
  4. Step 4: Simplify right side
    1,313.99x = 644,047.33
  5. Step 5: Solve for x
    x = 644,047.33/1,313.99
  6. Step 6: Final answer
    x = 490.15

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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.