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Finding the Fourth Proportional to 1,087.10, 1,630.80 and 393.60

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Solution

The fourth proportional to 1,087.10, 1,630.80 and 393.60 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.10 : 1,630.80 = 393.60 : x
  2. Step 2: Convert to fraction form
    1,087.10/1,630.80 = 393.60/x
  3. Step 3: Cross multiply
    1,087.10x = 1,630.80 × 393.60
  4. Step 4: Simplify right side
    1,087.10x = 641,882.88
  5. Step 5: Solve for x
    x = 641,882.88/1,087.10
  6. Step 6: Final answer
    x = 590.45

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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.