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Finding the Fourth Proportional to 1,542.58, 2,314.08 and 568.61

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Solution

The fourth proportional to 1,542.58, 2,314.08 and 568.61 is: 852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.58 : 2,314.08 = 568.61 : x
  2. Step 2: Convert to fraction form
    1,542.58/2,314.08 = 568.61/x
  3. Step 3: Cross multiply
    1,542.58x = 2,314.08 × 568.61
  4. Step 4: Simplify right side
    1,542.58x = 1,315,809.03
  5. Step 5: Solve for x
    x = 1,315,809.03/1,542.58
  6. Step 6: Final answer
    x = 852.99

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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.