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Finding the Fourth Proportional to 711.01, 980.85 and 462.41

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Solution

The fourth proportional to 711.01, 980.85 and 462.41 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.01 : 980.85 = 462.41 : x
  2. Step 2: Convert to fraction form
    711.01/980.85 = 462.41/x
  3. Step 3: Cross multiply
    711.01x = 980.85 × 462.41
  4. Step 4: Simplify right side
    711.01x = 453,547.63
  5. Step 5: Solve for x
    x = 453,547.63/711.01
  6. Step 6: Final answer
    x = 637.90

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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.