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Finding the Fourth Proportional to 1,764.27, 2,646.46 and 594.31

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Solution

The fourth proportional to 1,764.27, 2,646.46 and 594.31 is: 891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.27 : 2,646.46 = 594.31 : x
  2. Step 2: Convert to fraction form
    1,764.27/2,646.46 = 594.31/x
  3. Step 3: Cross multiply
    1,764.27x = 2,646.46 × 594.31
  4. Step 4: Simplify right side
    1,764.27x = 1,572,817.64
  5. Step 5: Solve for x
    x = 1,572,817.64/1,764.27
  6. Step 6: Final answer
    x = 891.48

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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.