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Finding the Fourth Proportional to 1,683.28, 2,525.15 and 587.39

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Solution

The fourth proportional to 1,683.28, 2,525.15 and 587.39 is: 881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.28 : 2,525.15 = 587.39 : x
  2. Step 2: Convert to fraction form
    1,683.28/2,525.15 = 587.39/x
  3. Step 3: Cross multiply
    1,683.28x = 2,525.15 × 587.39
  4. Step 4: Simplify right side
    1,683.28x = 1,483,232.30
  5. Step 5: Solve for x
    x = 1,483,232.30/1,683.28
  6. Step 6: Final answer
    x = 881.16

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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.