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Finding the Fourth Proportional to 711.04, 980.86 and 462.36

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Solution

The fourth proportional to 711.04, 980.86 and 462.36 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.04 : 980.86 = 462.36 : x
  2. Step 2: Convert to fraction form
    711.04/980.86 = 462.36/x
  3. Step 3: Cross multiply
    711.04x = 980.86 × 462.36
  4. Step 4: Simplify right side
    711.04x = 453,510.43
  5. Step 5: Solve for x
    x = 453,510.43/711.04
  6. Step 6: Final answer
    x = 637.81

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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.