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Finding the Fourth Proportional to 768.93, 1,154.08 and 358.26

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Solution

The fourth proportional to 768.93, 1,154.08 and 358.26 is: 537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.93 : 1,154.08 = 358.26 : x
  2. Step 2: Convert to fraction form
    768.93/1,154.08 = 358.26/x
  3. Step 3: Cross multiply
    768.93x = 1,154.08 × 358.26
  4. Step 4: Simplify right side
    768.93x = 413,460.70
  5. Step 5: Solve for x
    x = 413,460.70/768.93
  6. Step 6: Final answer
    x = 537.71

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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.