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Finding the Fourth Proportional to 1,313.99, 1,970.78 and 492.14

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Solution

The fourth proportional to 1,313.99, 1,970.78 and 492.14 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.99 : 1,970.78 = 492.14 : x
  2. Step 2: Convert to fraction form
    1,313.99/1,970.78 = 492.14/x
  3. Step 3: Cross multiply
    1,313.99x = 1,970.78 × 492.14
  4. Step 4: Simplify right side
    1,313.99x = 969,887.35
  5. Step 5: Solve for x
    x = 969,887.35/1,313.99
  6. Step 6: Final answer
    x = 738.13

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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.