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Finding the Fourth Proportional to 1,057.25, 1,584.51 and 594.34

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Solution

The fourth proportional to 1,057.25, 1,584.51 and 594.34 is: 890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.25 : 1,584.51 = 594.34 : x
  2. Step 2: Convert to fraction form
    1,057.25/1,584.51 = 594.34/x
  3. Step 3: Cross multiply
    1,057.25x = 1,584.51 × 594.34
  4. Step 4: Simplify right side
    1,057.25x = 941,734.83
  5. Step 5: Solve for x
    x = 941,734.83/1,057.25
  6. Step 6: Final answer
    x = 890.74

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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.