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Finding the Fourth Proportional to 830.55, 1,246.26 and 765.84

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Solution

The fourth proportional to 830.55, 1,246.26 and 765.84 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.55 : 1,246.26 = 765.84 : x
  2. Step 2: Convert to fraction form
    830.55/1,246.26 = 765.84/x
  3. Step 3: Cross multiply
    830.55x = 1,246.26 × 765.84
  4. Step 4: Simplify right side
    830.55x = 954,435.76
  5. Step 5: Solve for x
    x = 954,435.76/830.55
  6. Step 6: Final answer
    x = 1,149.16

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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.