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Finding the Fourth Proportional to 1,678.80, 2,518.20 and 583.50

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Solution

The fourth proportional to 1,678.80, 2,518.20 and 583.50 is: 875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.80 : 2,518.20 = 583.50 : x
  2. Step 2: Convert to fraction form
    1,678.80/2,518.20 = 583.50/x
  3. Step 3: Cross multiply
    1,678.80x = 2,518.20 × 583.50
  4. Step 4: Simplify right side
    1,678.80x = 1,469,369.70
  5. Step 5: Solve for x
    x = 1,469,369.70/1,678.80
  6. Step 6: Final answer
    x = 875.25

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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.