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Finding the Fourth Proportional to 1,115.35, 1,673.66 and 466.06

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Solution

The fourth proportional to 1,115.35, 1,673.66 and 466.06 is: 699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.35 : 1,673.66 = 466.06 : x
  2. Step 2: Convert to fraction form
    1,115.35/1,673.66 = 466.06/x
  3. Step 3: Cross multiply
    1,115.35x = 1,673.66 × 466.06
  4. Step 4: Simplify right side
    1,115.35x = 780,025.98
  5. Step 5: Solve for x
    x = 780,025.98/1,115.35
  6. Step 6: Final answer
    x = 699.36

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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.