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Finding the Fourth Proportional to 1,308.42, 1,805.76 and 748.98

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Solution

The fourth proportional to 1,308.42, 1,805.76 and 748.98 is: 1,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.42 : 1,805.76 = 748.98 : x
  2. Step 2: Convert to fraction form
    1,308.42/1,805.76 = 748.98/x
  3. Step 3: Cross multiply
    1,308.42x = 1,805.76 × 748.98
  4. Step 4: Simplify right side
    1,308.42x = 1,352,478.12
  5. Step 5: Solve for x
    x = 1,352,478.12/1,308.42
  6. Step 6: Final answer
    x = 1,033.67

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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.