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Finding the Fourth Proportional to 1,265.29, 1,897.94 and 495.25

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Solution

The fourth proportional to 1,265.29, 1,897.94 and 495.25 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.29 : 1,897.94 = 495.25 : x
  2. Step 2: Convert to fraction form
    1,265.29/1,897.94 = 495.25/x
  3. Step 3: Cross multiply
    1,265.29x = 1,897.94 × 495.25
  4. Step 4: Simplify right side
    1,265.29x = 939,954.79
  5. Step 5: Solve for x
    x = 939,954.79/1,265.29
  6. Step 6: Final answer
    x = 742.88

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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.