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Finding the Fourth Proportional to 711.09, 980.97 and 462.32

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Solution

The fourth proportional to 711.09, 980.97 and 462.32 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 980.97 = 462.32 : x
  2. Step 2: Convert to fraction form
    711.09/980.97 = 462.32/x
  3. Step 3: Cross multiply
    711.09x = 980.97 × 462.32
  4. Step 4: Simplify right side
    711.09x = 453,522.05
  5. Step 5: Solve for x
    x = 453,522.05/711.09
  6. Step 6: Final answer
    x = 637.78

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1.5x scale

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.