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Finding the Fourth Proportional to 1,043.14, 1,564.71 and 394.06

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Solution

The fourth proportional to 1,043.14, 1,564.71 and 394.06 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.14 : 1,564.71 = 394.06 : x
  2. Step 2: Convert to fraction form
    1,043.14/1,564.71 = 394.06/x
  3. Step 3: Cross multiply
    1,043.14x = 1,564.71 × 394.06
  4. Step 4: Simplify right side
    1,043.14x = 616,589.62
  5. Step 5: Solve for x
    x = 616,589.62/1,043.14
  6. Step 6: Final answer
    x = 591.09

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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.