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Finding the Fourth Proportional to 786.22, 1,084.53 and 534.58

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Solution

The fourth proportional to 786.22, 1,084.53 and 534.58 is: 737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.22 : 1,084.53 = 534.58 : x
  2. Step 2: Convert to fraction form
    786.22/1,084.53 = 534.58/x
  3. Step 3: Cross multiply
    786.22x = 1,084.53 × 534.58
  4. Step 4: Simplify right side
    786.22x = 579,768.05
  5. Step 5: Solve for x
    x = 579,768.05/786.22
  6. Step 6: Final answer
    x = 737.41

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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.