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Finding the Fourth Proportional to 1,542.58, 2,314.20 and 665.08

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Solution

The fourth proportional to 1,542.58, 2,314.20 and 665.08 is: 997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.58 : 2,314.20 = 665.08 : x
  2. Step 2: Convert to fraction form
    1,542.58/2,314.20 = 665.08/x
  3. Step 3: Cross multiply
    1,542.58x = 2,314.20 × 665.08
  4. Step 4: Simplify right side
    1,542.58x = 1,539,128.14
  5. Step 5: Solve for x
    x = 1,539,128.14/1,542.58
  6. Step 6: Final answer
    x = 997.76

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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.