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Finding the Fourth Proportional to 709.48, 979.48 and 543.18

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Solution

The fourth proportional to 709.48, 979.48 and 543.18 is: 749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 979.48 = 543.18 : x
  2. Step 2: Convert to fraction form
    709.48/979.48 = 543.18/x
  3. Step 3: Cross multiply
    709.48x = 979.48 × 543.18
  4. Step 4: Simplify right side
    709.48x = 532,034.78
  5. Step 5: Solve for x
    x = 532,034.78/709.48
  6. Step 6: Final answer
    x = 749.89

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