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Finding the Fourth Proportional to 900.09, 1,243.55 and 678.62

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Solution

The fourth proportional to 900.09, 1,243.55 and 678.62 is: 937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.09 : 1,243.55 = 678.62 : x
  2. Step 2: Convert to fraction form
    900.09/1,243.55 = 678.62/x
  3. Step 3: Cross multiply
    900.09x = 1,243.55 × 678.62
  4. Step 4: Simplify right side
    900.09x = 843,902.71
  5. Step 5: Solve for x
    x = 843,902.71/900.09
  6. Step 6: Final answer
    x = 937.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.