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Finding the Fourth Proportional to 1,683.80, 2,523.71 and 758.27

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Solution

The fourth proportional to 1,683.80, 2,523.71 and 758.27 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.80 : 2,523.71 = 758.27 : x
  2. Step 2: Convert to fraction form
    1,683.80/2,523.71 = 758.27/x
  3. Step 3: Cross multiply
    1,683.80x = 2,523.71 × 758.27
  4. Step 4: Simplify right side
    1,683.80x = 1,913,637.17
  5. Step 5: Solve for x
    x = 1,913,637.17/1,683.80
  6. Step 6: Final answer
    x = 1,136.50

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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.