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Finding the Fourth Proportional to 1,602.27, 2,402.93 and 677.80

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Solution

The fourth proportional to 1,602.27, 2,402.93 and 677.80 is: 1,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.27 : 2,402.93 = 677.80 : x
  2. Step 2: Convert to fraction form
    1,602.27/2,402.93 = 677.80/x
  3. Step 3: Cross multiply
    1,602.27x = 2,402.93 × 677.80
  4. Step 4: Simplify right side
    1,602.27x = 1,628,711.35
  5. Step 5: Solve for x
    x = 1,628,711.35/1,602.27
  6. Step 6: Final answer
    x = 1,016.50

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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.