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Finding the Fourth Proportional to 713.08, 984.12 and 514.07

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Solution

The fourth proportional to 713.08, 984.12 and 514.07 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.08 : 984.12 = 514.07 : x
  2. Step 2: Convert to fraction form
    713.08/984.12 = 514.07/x
  3. Step 3: Cross multiply
    713.08x = 984.12 × 514.07
  4. Step 4: Simplify right side
    713.08x = 505,909.03
  5. Step 5: Solve for x
    x = 505,909.03/713.08
  6. Step 6: Final answer
    x = 709.47

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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.