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Finding the Fourth Proportional to 1,302.14, 1,796.99 and 712.67

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Solution

The fourth proportional to 1,302.14, 1,796.99 and 712.67 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.14 : 1,796.99 = 712.67 : x
  2. Step 2: Convert to fraction form
    1,302.14/1,796.99 = 712.67/x
  3. Step 3: Cross multiply
    1,302.14x = 1,796.99 × 712.67
  4. Step 4: Simplify right side
    1,302.14x = 1,280,660.86
  5. Step 5: Solve for x
    x = 1,280,660.86/1,302.14
  6. Step 6: Final answer
    x = 983.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.