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Finding the Fourth Proportional to 768.08, 1,154.28 and 748.64

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Solution

The fourth proportional to 768.08, 1,154.28 and 748.64 is: 1,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.08 : 1,154.28 = 748.64 : x
  2. Step 2: Convert to fraction form
    768.08/1,154.28 = 748.64/x
  3. Step 3: Cross multiply
    768.08x = 1,154.28 × 748.64
  4. Step 4: Simplify right side
    768.08x = 864,140.18
  5. Step 5: Solve for x
    x = 864,140.18/768.08
  6. Step 6: Final answer
    x = 1,125.07

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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.