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Finding the Fourth Proportional to 1,321.70, 1,982.55 and 592.70

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Solution

The fourth proportional to 1,321.70, 1,982.55 and 592.70 is: 889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.70 : 1,982.55 = 592.70 : x
  2. Step 2: Convert to fraction form
    1,321.70/1,982.55 = 592.70/x
  3. Step 3: Cross multiply
    1,321.70x = 1,982.55 × 592.70
  4. Step 4: Simplify right side
    1,321.70x = 1,175,057.39
  5. Step 5: Solve for x
    x = 1,175,057.39/1,321.70
  6. Step 6: Final answer
    x = 889.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.