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Finding the Fourth Proportional to 1,154.94, 1,733.28 and 847.58

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Solution

The fourth proportional to 1,154.94, 1,733.28 and 847.58 is: 1,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.94 : 1,733.28 = 847.58 : x
  2. Step 2: Convert to fraction form
    1,154.94/1,733.28 = 847.58/x
  3. Step 3: Cross multiply
    1,154.94x = 1,733.28 × 847.58
  4. Step 4: Simplify right side
    1,154.94x = 1,469,093.46
  5. Step 5: Solve for x
    x = 1,469,093.46/1,154.94
  6. Step 6: Final answer
    x = 1,272.01

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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.