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Finding the Fourth Proportional to 1,043.84, 1,564.14 and 427.03

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Solution

The fourth proportional to 1,043.84, 1,564.14 and 427.03 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.84 : 1,564.14 = 427.03 : x
  2. Step 2: Convert to fraction form
    1,043.84/1,564.14 = 427.03/x
  3. Step 3: Cross multiply
    1,043.84x = 1,564.14 × 427.03
  4. Step 4: Simplify right side
    1,043.84x = 667,932.40
  5. Step 5: Solve for x
    x = 667,932.40/1,043.84
  6. Step 6: Final answer
    x = 639.88

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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.