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Finding the Fourth Proportional to 786.58, 1,083.09 and 703.42

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Solution

The fourth proportional to 786.58, 1,083.09 and 703.42 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.58 : 1,083.09 = 703.42 : x
  2. Step 2: Convert to fraction form
    786.58/1,083.09 = 703.42/x
  3. Step 3: Cross multiply
    786.58x = 1,083.09 × 703.42
  4. Step 4: Simplify right side
    786.58x = 761,867.17
  5. Step 5: Solve for x
    x = 761,867.17/786.58
  6. Step 6: Final answer
    x = 968.58

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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.