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Finding the Fourth Proportional to 709.56, 978.66 and 543.24

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Solution

The fourth proportional to 709.56, 978.66 and 543.24 is: 749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 978.66 = 543.24 : x
  2. Step 2: Convert to fraction form
    709.56/978.66 = 543.24/x
  3. Step 3: Cross multiply
    709.56x = 978.66 × 543.24
  4. Step 4: Simplify right side
    709.56x = 531,647.26
  5. Step 5: Solve for x
    x = 531,647.26/709.56
  6. Step 6: Final answer
    x = 749.26

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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.