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Finding the Fourth Proportional to 1,264.64, 1,897.12 and 495.20

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Solution

The fourth proportional to 1,264.64, 1,897.12 and 495.20 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.64 : 1,897.12 = 495.20 : x
  2. Step 2: Convert to fraction form
    1,264.64/1,897.12 = 495.20/x
  3. Step 3: Cross multiply
    1,264.64x = 1,897.12 × 495.20
  4. Step 4: Simplify right side
    1,264.64x = 939,453.82
  5. Step 5: Solve for x
    x = 939,453.82/1,264.64
  6. Step 6: Final answer
    x = 742.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.