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Finding the Fourth Proportional to 1,313.67, 1,969.88 and 697.67

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Solution

The fourth proportional to 1,313.67, 1,969.88 and 697.67 is: 1,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.67 : 1,969.88 = 697.67 : x
  2. Step 2: Convert to fraction form
    1,313.67/1,969.88 = 697.67/x
  3. Step 3: Cross multiply
    1,313.67x = 1,969.88 × 697.67
  4. Step 4: Simplify right side
    1,313.67x = 1,374,312.84
  5. Step 5: Solve for x
    x = 1,374,312.84/1,313.67
  6. Step 6: Final answer
    x = 1,046.16

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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.