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Finding the Fourth Proportional to 1,542.84, 2,313.09 and 568.77

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Solution

The fourth proportional to 1,542.84, 2,313.09 and 568.77 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.84 : 2,313.09 = 568.77 : x
  2. Step 2: Convert to fraction form
    1,542.84/2,313.09 = 568.77/x
  3. Step 3: Cross multiply
    1,542.84x = 2,313.09 × 568.77
  4. Step 4: Simplify right side
    1,542.84x = 1,315,616.20
  5. Step 5: Solve for x
    x = 1,315,616.20/1,542.84
  6. Step 6: Final answer
    x = 852.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.