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Finding the Fourth Proportional to 700.76, 967.11 and 421.04

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Solution

The fourth proportional to 700.76, 967.11 and 421.04 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 967.11 = 421.04 : x
  2. Step 2: Convert to fraction form
    700.76/967.11 = 421.04/x
  3. Step 3: Cross multiply
    700.76x = 967.11 × 421.04
  4. Step 4: Simplify right side
    700.76x = 407,191.99
  5. Step 5: Solve for x
    x = 407,191.99/700.76
  6. Step 6: Final answer
    x = 581.07

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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.