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Finding the Fourth Proportional to 1,294.53, 1,762.56 and 1,290.43

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Solution

The fourth proportional to 1,294.53, 1,762.56 and 1,290.43 is: 1,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.53 : 1,762.56 = 1,290.43 : x
  2. Step 2: Convert to fraction form
    1,294.53/1,762.56 = 1,290.43/x
  3. Step 3: Cross multiply
    1,294.53x = 1,762.56 × 1,290.43
  4. Step 4: Simplify right side
    1,294.53x = 2,274,460.30
  5. Step 5: Solve for x
    x = 2,274,460.30/1,294.53
  6. Step 6: Final answer
    x = 1,756.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.