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Finding the Fourth Proportional to 1,486.69, 2,230.43 and 446.69

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Solution

The fourth proportional to 1,486.69, 2,230.43 and 446.69 is: 670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.69 : 2,230.43 = 446.69 : x
  2. Step 2: Convert to fraction form
    1,486.69/2,230.43 = 446.69/x
  3. Step 3: Cross multiply
    1,486.69x = 2,230.43 × 446.69
  4. Step 4: Simplify right side
    1,486.69x = 996,314.12
  5. Step 5: Solve for x
    x = 996,314.12/1,486.69
  6. Step 6: Final answer
    x = 670.16

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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.