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Finding the Fourth Proportional to 1,542.75, 2,313.82 and 568.62

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Solution

The fourth proportional to 1,542.75, 2,313.82 and 568.62 is: 852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,313.82 = 568.62 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,313.82 = 568.62/x
  3. Step 3: Cross multiply
    1,542.75x = 2,313.82 × 568.62
  4. Step 4: Simplify right side
    1,542.75x = 1,315,681.84
  5. Step 5: Solve for x
    x = 1,315,681.84/1,542.75
  6. Step 6: Final answer
    x = 852.82

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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.