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Finding the Fourth Proportional to 1,168.64, 1,753.04 and 510.54

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Solution

The fourth proportional to 1,168.64, 1,753.04 and 510.54 is: 765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.64 : 1,753.04 = 510.54 : x
  2. Step 2: Convert to fraction form
    1,168.64/1,753.04 = 510.54/x
  3. Step 3: Cross multiply
    1,168.64x = 1,753.04 × 510.54
  4. Step 4: Simplify right side
    1,168.64x = 894,997.04
  5. Step 5: Solve for x
    x = 894,997.04/1,168.64
  6. Step 6: Final answer
    x = 765.84

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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.