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Finding the Fourth Proportional to 898.33, 1,237.02 and 854.59

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Solution

The fourth proportional to 898.33, 1,237.02 and 854.59 is: 1,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.33 : 1,237.02 = 854.59 : x
  2. Step 2: Convert to fraction form
    898.33/1,237.02 = 854.59/x
  3. Step 3: Cross multiply
    898.33x = 1,237.02 × 854.59
  4. Step 4: Simplify right side
    898.33x = 1,057,144.92
  5. Step 5: Solve for x
    x = 1,057,144.92/898.33
  6. Step 6: Final answer
    x = 1,176.79

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Why These Related Problems?

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