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Finding the Fourth Proportional to 711.26, 980.93 and 462.39

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Solution

The fourth proportional to 711.26, 980.93 and 462.39 is: 637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.26 : 980.93 = 462.39 : x
  2. Step 2: Convert to fraction form
    711.26/980.93 = 462.39/x
  3. Step 3: Cross multiply
    711.26x = 980.93 × 462.39
  4. Step 4: Simplify right side
    711.26x = 453,567.32
  5. Step 5: Solve for x
    x = 453,567.32/711.26
  6. Step 6: Final answer
    x = 637.70

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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.