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Finding the Fourth Proportional to 1,168.58, 1,753.46 and 475.58

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Solution

The fourth proportional to 1,168.58, 1,753.46 and 475.58 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.58 : 1,753.46 = 475.58 : x
  2. Step 2: Convert to fraction form
    1,168.58/1,753.46 = 475.58/x
  3. Step 3: Cross multiply
    1,168.58x = 1,753.46 × 475.58
  4. Step 4: Simplify right side
    1,168.58x = 833,908.13
  5. Step 5: Solve for x
    x = 833,908.13/1,168.58
  6. Step 6: Final answer
    x = 713.61

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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.