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Finding the Fourth Proportional to 968.74, 1,453.10 and 420.85

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Solution

The fourth proportional to 968.74, 1,453.10 and 420.85 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.74 : 1,453.10 = 420.85 : x
  2. Step 2: Convert to fraction form
    968.74/1,453.10 = 420.85/x
  3. Step 3: Cross multiply
    968.74x = 1,453.10 × 420.85
  4. Step 4: Simplify right side
    968.74x = 611,527.77
  5. Step 5: Solve for x
    x = 611,527.77/968.74
  6. Step 6: Final answer
    x = 631.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.