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Finding the Fourth Proportional to 1,264.82, 1,897.30 and 443.16

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Solution

The fourth proportional to 1,264.82, 1,897.30 and 443.16 is: 664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.82 : 1,897.30 = 443.16 : x
  2. Step 2: Convert to fraction form
    1,264.82/1,897.30 = 443.16/x
  3. Step 3: Cross multiply
    1,264.82x = 1,897.30 × 443.16
  4. Step 4: Simplify right side
    1,264.82x = 840,807.47
  5. Step 5: Solve for x
    x = 840,807.47/1,264.82
  6. Step 6: Final answer
    x = 664.76

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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.