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Finding the Fourth Proportional to 1,478.45, 2,040.17 and 848.88

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Solution

The fourth proportional to 1,478.45, 2,040.17 and 848.88 is: 1,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.45 : 2,040.17 = 848.88 : x
  2. Step 2: Convert to fraction form
    1,478.45/2,040.17 = 848.88/x
  3. Step 3: Cross multiply
    1,478.45x = 2,040.17 × 848.88
  4. Step 4: Simplify right side
    1,478.45x = 1,731,849.31
  5. Step 5: Solve for x
    x = 1,731,849.31/1,478.45
  6. Step 6: Final answer
    x = 1,171.40

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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.