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Finding the Fourth Proportional to 1,115.30, 1,673.55 and 466.10

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Solution

The fourth proportional to 1,115.30, 1,673.55 and 466.10 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.30 : 1,673.55 = 466.10 : x
  2. Step 2: Convert to fraction form
    1,115.30/1,673.55 = 466.10/x
  3. Step 3: Cross multiply
    1,115.30x = 1,673.55 × 466.10
  4. Step 4: Simplify right side
    1,115.30x = 780,041.66
  5. Step 5: Solve for x
    x = 780,041.66/1,115.30
  6. Step 6: Final answer
    x = 699.40

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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.