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Finding the Fourth Proportional to 1,115.36, 1,673.64 and 466.54

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Solution

The fourth proportional to 1,115.36, 1,673.64 and 466.54 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.36 : 1,673.64 = 466.54 : x
  2. Step 2: Convert to fraction form
    1,115.36/1,673.64 = 466.54/x
  3. Step 3: Cross multiply
    1,115.36x = 1,673.64 × 466.54
  4. Step 4: Simplify right side
    1,115.36x = 780,820.01
  5. Step 5: Solve for x
    x = 780,820.01/1,115.36
  6. Step 6: Final answer
    x = 700.06

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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.