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Finding the Fourth Proportional to 763.21, 1,052.35 and 605.53

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Solution

The fourth proportional to 763.21, 1,052.35 and 605.53 is: 834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.21 : 1,052.35 = 605.53 : x
  2. Step 2: Convert to fraction form
    763.21/1,052.35 = 605.53/x
  3. Step 3: Cross multiply
    763.21x = 1,052.35 × 605.53
  4. Step 4: Simplify right side
    763.21x = 637,229.50
  5. Step 5: Solve for x
    x = 637,229.50/763.21
  6. Step 6: Final answer
    x = 834.93

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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.