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Finding the Fourth Proportional to 830.68, 1,246.23 and 465.71

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Solution

The fourth proportional to 830.68, 1,246.23 and 465.71 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.68 : 1,246.23 = 465.71 : x
  2. Step 2: Convert to fraction form
    830.68/1,246.23 = 465.71/x
  3. Step 3: Cross multiply
    830.68x = 1,246.23 × 465.71
  4. Step 4: Simplify right side
    830.68x = 580,375.54
  5. Step 5: Solve for x
    x = 580,375.54/830.68
  6. Step 6: Final answer
    x = 698.68

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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.