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Finding the Fourth Proportional to 1,683.14, 2,523.96 and 587.24

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Solution

The fourth proportional to 1,683.14, 2,523.96 and 587.24 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.14 : 2,523.96 = 587.24 : x
  2. Step 2: Convert to fraction form
    1,683.14/2,523.96 = 587.24/x
  3. Step 3: Cross multiply
    1,683.14x = 2,523.96 × 587.24
  4. Step 4: Simplify right side
    1,683.14x = 1,482,170.27
  5. Step 5: Solve for x
    x = 1,482,170.27/1,683.14
  6. Step 6: Final answer
    x = 880.60

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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.