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Finding the Fourth Proportional to 1,352.34, 1,864.37 and 854.73

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Solution

The fourth proportional to 1,352.34, 1,864.37 and 854.73 is: 1,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.34 : 1,864.37 = 854.73 : x
  2. Step 2: Convert to fraction form
    1,352.34/1,864.37 = 854.73/x
  3. Step 3: Cross multiply
    1,352.34x = 1,864.37 × 854.73
  4. Step 4: Simplify right side
    1,352.34x = 1,593,532.97
  5. Step 5: Solve for x
    x = 1,593,532.97/1,352.34
  6. Step 6: Final answer
    x = 1,178.35

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1.5x scale

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.