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Finding the Fourth Proportional to 1,235.79, 1,854.63 and 911.25

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Solution

The fourth proportional to 1,235.79, 1,854.63 and 911.25 is: 1,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.79 : 1,854.63 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,235.79/1,854.63 = 911.25/x
  3. Step 3: Cross multiply
    1,235.79x = 1,854.63 × 911.25
  4. Step 4: Simplify right side
    1,235.79x = 1,690,031.59
  5. Step 5: Solve for x
    x = 1,690,031.59/1,235.79
  6. Step 6: Final answer
    x = 1,367.57

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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.