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Finding the Fourth Proportional to 1,264.76, 1,897.42 and 495.26

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Solution

The fourth proportional to 1,264.76, 1,897.42 and 495.26 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.76 : 1,897.42 = 495.26 : x
  2. Step 2: Convert to fraction form
    1,264.76/1,897.42 = 495.26/x
  3. Step 3: Cross multiply
    1,264.76x = 1,897.42 × 495.26
  4. Step 4: Simplify right side
    1,264.76x = 939,716.23
  5. Step 5: Solve for x
    x = 939,716.23/1,264.76
  6. Step 6: Final answer
    x = 743.00

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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.