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Finding the Fourth Proportional to 1,313.54, 1,970.31 and 491.80

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Solution

The fourth proportional to 1,313.54, 1,970.31 and 491.80 is: 737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.54 : 1,970.31 = 491.80 : x
  2. Step 2: Convert to fraction form
    1,313.54/1,970.31 = 491.80/x
  3. Step 3: Cross multiply
    1,313.54x = 1,970.31 × 491.80
  4. Step 4: Simplify right side
    1,313.54x = 968,998.46
  5. Step 5: Solve for x
    x = 968,998.46/1,313.54
  6. Step 6: Final answer
    x = 737.70

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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.