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Finding the Fourth Proportional to 1,690.60, 2,333.00 and 982.58

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Solution

The fourth proportional to 1,690.60, 2,333.00 and 982.58 is: 1,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.60 : 2,333.00 = 982.58 : x
  2. Step 2: Convert to fraction form
    1,690.60/2,333.00 = 982.58/x
  3. Step 3: Cross multiply
    1,690.60x = 2,333.00 × 982.58
  4. Step 4: Simplify right side
    1,690.60x = 2,292,363.05
  5. Step 5: Solve for x
    x = 2,292,363.05/1,690.60
  6. Step 6: Final answer
    x = 1,355.95

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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.