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Finding the Fourth Proportional to 1,087.09, 1,630.60 and 437.81

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Solution

The fourth proportional to 1,087.09, 1,630.60 and 437.81 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.09 : 1,630.60 = 437.81 : x
  2. Step 2: Convert to fraction form
    1,087.09/1,630.60 = 437.81/x
  3. Step 3: Cross multiply
    1,087.09x = 1,630.60 × 437.81
  4. Step 4: Simplify right side
    1,087.09x = 713,883.74
  5. Step 5: Solve for x
    x = 713,883.74/1,087.09
  6. Step 6: Final answer
    x = 656.69

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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.