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Finding the Fourth Proportional to 1,057.60, 1,584.67 and 1,017.10

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Solution

The fourth proportional to 1,057.60, 1,584.67 and 1,017.10 is: 1,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.60 : 1,584.67 = 1,017.10 : x
  2. Step 2: Convert to fraction form
    1,057.60/1,584.67 = 1,017.10/x
  3. Step 3: Cross multiply
    1,057.60x = 1,584.67 × 1,017.10
  4. Step 4: Simplify right side
    1,057.60x = 1,611,767.86
  5. Step 5: Solve for x
    x = 1,611,767.86/1,057.60
  6. Step 6: Final answer
    x = 1,523.99

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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.