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Finding the Fourth Proportional to 830.83, 1,246.15 and 440.68

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Solution

The fourth proportional to 830.83, 1,246.15 and 440.68 is: 660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.83 : 1,246.15 = 440.68 : x
  2. Step 2: Convert to fraction form
    830.83/1,246.15 = 440.68/x
  3. Step 3: Cross multiply
    830.83x = 1,246.15 × 440.68
  4. Step 4: Simplify right side
    830.83x = 549,153.38
  5. Step 5: Solve for x
    x = 549,153.38/830.83
  6. Step 6: Final answer
    x = 660.97

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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.