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Finding the Fourth Proportional to 1,168.34, 1,752.01 and 518.63

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Solution

The fourth proportional to 1,168.34, 1,752.01 and 518.63 is: 777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.34 : 1,752.01 = 518.63 : x
  2. Step 2: Convert to fraction form
    1,168.34/1,752.01 = 518.63/x
  3. Step 3: Cross multiply
    1,168.34x = 1,752.01 × 518.63
  4. Step 4: Simplify right side
    1,168.34x = 908,634.89
  5. Step 5: Solve for x
    x = 908,634.89/1,168.34
  6. Step 6: Final answer
    x = 777.72

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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.