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Finding the Fourth Proportional to 1,168.76, 1,752.42 and 552.44

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Solution

The fourth proportional to 1,168.76, 1,752.42 and 552.44 is: 828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.76 : 1,752.42 = 552.44 : x
  2. Step 2: Convert to fraction form
    1,168.76/1,752.42 = 552.44/x
  3. Step 3: Cross multiply
    1,168.76x = 1,752.42 × 552.44
  4. Step 4: Simplify right side
    1,168.76x = 968,106.90
  5. Step 5: Solve for x
    x = 968,106.90/1,168.76
  6. Step 6: Final answer
    x = 828.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.