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Finding the Fourth Proportional to 1,175.72, 1,622.37 and 678.32

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Solution

The fourth proportional to 1,175.72, 1,622.37 and 678.32 is: 936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.72 : 1,622.37 = 678.32 : x
  2. Step 2: Convert to fraction form
    1,175.72/1,622.37 = 678.32/x
  3. Step 3: Cross multiply
    1,175.72x = 1,622.37 × 678.32
  4. Step 4: Simplify right side
    1,175.72x = 1,100,486.02
  5. Step 5: Solve for x
    x = 1,100,486.02/1,175.72
  6. Step 6: Final answer
    x = 936.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.