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Finding the Fourth Proportional to 1,260.34, 1,736.82 and 945.96

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Solution

The fourth proportional to 1,260.34, 1,736.82 and 945.96 is: 1,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.34 : 1,736.82 = 945.96 : x
  2. Step 2: Convert to fraction form
    1,260.34/1,736.82 = 945.96/x
  3. Step 3: Cross multiply
    1,260.34x = 1,736.82 × 945.96
  4. Step 4: Simplify right side
    1,260.34x = 1,642,962.84
  5. Step 5: Solve for x
    x = 1,642,962.84/1,260.34
  6. Step 6: Final answer
    x = 1,303.58

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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.