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Finding the Fourth Proportional to 1,534.97, 2,302.00 and 547.62

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Solution

The fourth proportional to 1,534.97, 2,302.00 and 547.62 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.97 : 2,302.00 = 547.62 : x
  2. Step 2: Convert to fraction form
    1,534.97/2,302.00 = 547.62/x
  3. Step 3: Cross multiply
    1,534.97x = 2,302.00 × 547.62
  4. Step 4: Simplify right side
    1,534.97x = 1,260,619.87
  5. Step 5: Solve for x
    x = 1,260,619.87/1,534.97
  6. Step 6: Final answer
    x = 821.27

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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.