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Finding the Fourth Proportional to 1,709.90, 2,564.56 and 477.43

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Solution

The fourth proportional to 1,709.90, 2,564.56 and 477.43 is: 716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.90 : 2,564.56 = 477.43 : x
  2. Step 2: Convert to fraction form
    1,709.90/2,564.56 = 477.43/x
  3. Step 3: Cross multiply
    1,709.90x = 2,564.56 × 477.43
  4. Step 4: Simplify right side
    1,709.90x = 1,224,397.88
  5. Step 5: Solve for x
    x = 1,224,397.88/1,709.90
  6. Step 6: Final answer
    x = 716.07

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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.