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Finding the Fourth Proportional to 1,323.42, 1,982.64 and 674.58

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Solution

The fourth proportional to 1,323.42, 1,982.64 and 674.58 is: 1,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.42 : 1,982.64 = 674.58 : x
  2. Step 2: Convert to fraction form
    1,323.42/1,982.64 = 674.58/x
  3. Step 3: Cross multiply
    1,323.42x = 1,982.64 × 674.58
  4. Step 4: Simplify right side
    1,323.42x = 1,337,449.29
  5. Step 5: Solve for x
    x = 1,337,449.29/1,323.42
  6. Step 6: Final answer
    x = 1,010.60

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1.5x scale

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.