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Finding the Fourth Proportional to 854.81, 1,282.49 and 592.37

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Solution

The fourth proportional to 854.81, 1,282.49 and 592.37 is: 888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.81 : 1,282.49 = 592.37 : x
  2. Step 2: Convert to fraction form
    854.81/1,282.49 = 592.37/x
  3. Step 3: Cross multiply
    854.81x = 1,282.49 × 592.37
  4. Step 4: Simplify right side
    854.81x = 759,708.60
  5. Step 5: Solve for x
    x = 759,708.60/854.81
  6. Step 6: Final answer
    x = 888.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.