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Finding the Fourth Proportional to 773.17, 1,157.91 and 598.21

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Solution

The fourth proportional to 773.17, 1,157.91 and 598.21 is: 895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.17 : 1,157.91 = 598.21 : x
  2. Step 2: Convert to fraction form
    773.17/1,157.91 = 598.21/x
  3. Step 3: Cross multiply
    773.17x = 1,157.91 × 598.21
  4. Step 4: Simplify right side
    773.17x = 692,673.34
  5. Step 5: Solve for x
    x = 692,673.34/773.17
  6. Step 6: Final answer
    x = 895.89

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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.