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Finding the Fourth Proportional to 1,477.28, 2,038.82 and 847.88

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Solution

The fourth proportional to 1,477.28, 2,038.82 and 847.88 is: 1,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.28 : 2,038.82 = 847.88 : x
  2. Step 2: Convert to fraction form
    1,477.28/2,038.82 = 847.88/x
  3. Step 3: Cross multiply
    1,477.28x = 2,038.82 × 847.88
  4. Step 4: Simplify right side
    1,477.28x = 1,728,660.27
  5. Step 5: Solve for x
    x = 1,728,660.27/1,477.28
  6. Step 6: Final answer
    x = 1,170.17

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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.