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Finding the Fourth Proportional to 1,683.57, 2,524.38 and 710.35

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Solution

The fourth proportional to 1,683.57, 2,524.38 and 710.35 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.57 : 2,524.38 = 710.35 : x
  2. Step 2: Convert to fraction form
    1,683.57/2,524.38 = 710.35/x
  3. Step 3: Cross multiply
    1,683.57x = 2,524.38 × 710.35
  4. Step 4: Simplify right side
    1,683.57x = 1,793,193.33
  5. Step 5: Solve for x
    x = 1,793,193.33/1,683.57
  6. Step 6: Final answer
    x = 1,065.11

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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.