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Finding the Fourth Proportional to 1,292.25, 1,938.64 and 675.79

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Solution

The fourth proportional to 1,292.25, 1,938.64 and 675.79 is: 1,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.25 : 1,938.64 = 675.79 : x
  2. Step 2: Convert to fraction form
    1,292.25/1,938.64 = 675.79/x
  3. Step 3: Cross multiply
    1,292.25x = 1,938.64 × 675.79
  4. Step 4: Simplify right side
    1,292.25x = 1,310,113.53
  5. Step 5: Solve for x
    x = 1,310,113.53/1,292.25
  6. Step 6: Final answer
    x = 1,013.82

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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.