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Finding the Fourth Proportional to 900.43, 1,242.07 and 678.69

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Solution

The fourth proportional to 900.43, 1,242.07 and 678.69 is: 936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.43 : 1,242.07 = 678.69 : x
  2. Step 2: Convert to fraction form
    900.43/1,242.07 = 678.69/x
  3. Step 3: Cross multiply
    900.43x = 1,242.07 × 678.69
  4. Step 4: Simplify right side
    900.43x = 842,978.79
  5. Step 5: Solve for x
    x = 842,978.79/900.43
  6. Step 6: Final answer
    x = 936.20

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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.