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Finding the Fourth Proportional to 1,542.69, 2,314.16 and 447.06

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Solution

The fourth proportional to 1,542.69, 2,314.16 and 447.06 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.69 : 2,314.16 = 447.06 : x
  2. Step 2: Convert to fraction form
    1,542.69/2,314.16 = 447.06/x
  3. Step 3: Cross multiply
    1,542.69x = 2,314.16 × 447.06
  4. Step 4: Simplify right side
    1,542.69x = 1,034,566.13
  5. Step 5: Solve for x
    x = 1,034,566.13/1,542.69
  6. Step 6: Final answer
    x = 670.62

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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.