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Finding the Fourth Proportional to 1,115.64, 1,673.82 and 466.38

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Solution

The fourth proportional to 1,115.64, 1,673.82 and 466.38 is: 699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.64 : 1,673.82 = 466.38 : x
  2. Step 2: Convert to fraction form
    1,115.64/1,673.82 = 466.38/x
  3. Step 3: Cross multiply
    1,115.64x = 1,673.82 × 466.38
  4. Step 4: Simplify right side
    1,115.64x = 780,636.17
  5. Step 5: Solve for x
    x = 780,636.17/1,115.64
  6. Step 6: Final answer
    x = 699.72

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