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Finding the Fourth Proportional to 830.30, 1,246.65 and 465.80

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Solution

The fourth proportional to 830.30, 1,246.65 and 465.80 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,246.65 = 465.80 : x
  2. Step 2: Convert to fraction form
    830.30/1,246.65 = 465.80/x
  3. Step 3: Cross multiply
    830.30x = 1,246.65 × 465.80
  4. Step 4: Simplify right side
    830.30x = 580,689.57
  5. Step 5: Solve for x
    x = 580,689.57/830.30
  6. Step 6: Final answer
    x = 699.37

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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.