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Finding the Fourth Proportional to 786.22, 1,177.59 and 492.76

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Solution

The fourth proportional to 786.22, 1,177.59 and 492.76 is: 738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.22 : 1,177.59 = 492.76 : x
  2. Step 2: Convert to fraction form
    786.22/1,177.59 = 492.76/x
  3. Step 3: Cross multiply
    786.22x = 1,177.59 × 492.76
  4. Step 4: Simplify right side
    786.22x = 580,269.25
  5. Step 5: Solve for x
    x = 580,269.25/786.22
  6. Step 6: Final answer
    x = 738.05

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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.