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Finding the Fourth Proportional to 1,313.12, 1,969.86 and 491.20

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Solution

The fourth proportional to 1,313.12, 1,969.86 and 491.20 is: 736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.12 : 1,969.86 = 491.20 : x
  2. Step 2: Convert to fraction form
    1,313.12/1,969.86 = 491.20/x
  3. Step 3: Cross multiply
    1,313.12x = 1,969.86 × 491.20
  4. Step 4: Simplify right side
    1,313.12x = 967,595.23
  5. Step 5: Solve for x
    x = 967,595.23/1,313.12
  6. Step 6: Final answer
    x = 736.87

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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.