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Finding the Fourth Proportional to 1,235.54, 1,705.41 and 763.58

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Solution

The fourth proportional to 1,235.54, 1,705.41 and 763.58 is: 1,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.54 : 1,705.41 = 763.58 : x
  2. Step 2: Convert to fraction form
    1,235.54/1,705.41 = 763.58/x
  3. Step 3: Cross multiply
    1,235.54x = 1,705.41 × 763.58
  4. Step 4: Simplify right side
    1,235.54x = 1,302,208.44
  5. Step 5: Solve for x
    x = 1,302,208.44/1,235.54
  6. Step 6: Final answer
    x = 1,053.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.