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Finding the Fourth Proportional to 830.18, 1,245.36 and 784.82

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Solution

The fourth proportional to 830.18, 1,245.36 and 784.82 is: 1,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.18 : 1,245.36 = 784.82 : x
  2. Step 2: Convert to fraction form
    830.18/1,245.36 = 784.82/x
  3. Step 3: Cross multiply
    830.18x = 1,245.36 × 784.82
  4. Step 4: Simplify right side
    830.18x = 977,383.44
  5. Step 5: Solve for x
    x = 977,383.44/830.18
  6. Step 6: Final answer
    x = 1,177.32

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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.