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Finding the Fourth Proportional to 1,323.70, 1,982.64 and 775.30

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Solution

The fourth proportional to 1,323.70, 1,982.64 and 775.30 is: 1,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.70 : 1,982.64 = 775.30 : x
  2. Step 2: Convert to fraction form
    1,323.70/1,982.64 = 775.30/x
  3. Step 3: Cross multiply
    1,323.70x = 1,982.64 × 775.30
  4. Step 4: Simplify right side
    1,323.70x = 1,537,140.79
  5. Step 5: Solve for x
    x = 1,537,140.79/1,323.70
  6. Step 6: Final answer
    x = 1,161.25

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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.