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Finding the Fourth Proportional to 830.84, 1,246.62 and 446

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Solution

The fourth proportional to 830.84, 1,246.62 and 446 is: 669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,246.62 = 446 : x
  2. Step 2: Convert to fraction form
    830.84/1,246.62 = 446/x
  3. Step 3: Cross multiply
    830.84x = 1,246.62 × 446
  4. Step 4: Simplify right side
    830.84x = 555,992.52
  5. Step 5: Solve for x
    x = 555,992.52/830.84
  6. Step 6: Final answer
    x = 669.19

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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.