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Finding the Fourth Proportional to 709.51, 977.62 and 543.21

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Solution

The fourth proportional to 709.51, 977.62 and 543.21 is: 748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.51 : 977.62 = 543.21 : x
  2. Step 2: Convert to fraction form
    709.51/977.62 = 543.21/x
  3. Step 3: Cross multiply
    709.51x = 977.62 × 543.21
  4. Step 4: Simplify right side
    709.51x = 531,048.95
  5. Step 5: Solve for x
    x = 531,048.95/709.51
  6. Step 6: Final answer
    x = 748.47

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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.