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Finding the Fourth Proportional to 898.86, 1,240.89 and 678.33

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Solution

The fourth proportional to 898.86, 1,240.89 and 678.33 is: 936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.86 : 1,240.89 = 678.33 : x
  2. Step 2: Convert to fraction form
    898.86/1,240.89 = 678.33/x
  3. Step 3: Cross multiply
    898.86x = 1,240.89 × 678.33
  4. Step 4: Simplify right side
    898.86x = 841,732.91
  5. Step 5: Solve for x
    x = 841,732.91/898.86
  6. Step 6: Final answer
    x = 936.44

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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.