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Finding the Fourth Proportional to 1,683.05, 2,524.80 and 587.27

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Solution

The fourth proportional to 1,683.05, 2,524.80 and 587.27 is: 880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.05 : 2,524.80 = 587.27 : x
  2. Step 2: Convert to fraction form
    1,683.05/2,524.80 = 587.27/x
  3. Step 3: Cross multiply
    1,683.05x = 2,524.80 × 587.27
  4. Step 4: Simplify right side
    1,683.05x = 1,482,723.74
  5. Step 5: Solve for x
    x = 1,482,723.74/1,683.05
  6. Step 6: Final answer
    x = 880.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.