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Finding the Fourth Proportional to 1,272.60, 1,756.08 and 748.50

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Solution

The fourth proportional to 1,272.60, 1,756.08 and 748.50 is: 1,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.60 : 1,756.08 = 748.50 : x
  2. Step 2: Convert to fraction form
    1,272.60/1,756.08 = 748.50/x
  3. Step 3: Cross multiply
    1,272.60x = 1,756.08 × 748.50
  4. Step 4: Simplify right side
    1,272.60x = 1,314,425.88
  5. Step 5: Solve for x
    x = 1,314,425.88/1,272.60
  6. Step 6: Final answer
    x = 1,032.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.