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Finding the Fourth Proportional to 1,264.51, 1,896.39 and 442.63

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Solution

The fourth proportional to 1,264.51, 1,896.39 and 442.63 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.51 : 1,896.39 = 442.63 : x
  2. Step 2: Convert to fraction form
    1,264.51/1,896.39 = 442.63/x
  3. Step 3: Cross multiply
    1,264.51x = 1,896.39 × 442.63
  4. Step 4: Simplify right side
    1,264.51x = 839,394.36
  5. Step 5: Solve for x
    x = 839,394.36/1,264.51
  6. Step 6: Final answer
    x = 663.81

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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.