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Finding the Fourth Proportional to 1,043.84, 1,564.82 and 395.03

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Solution

The fourth proportional to 1,043.84, 1,564.82 and 395.03 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.84 : 1,564.82 = 395.03 : x
  2. Step 2: Convert to fraction form
    1,043.84/1,564.82 = 395.03/x
  3. Step 3: Cross multiply
    1,043.84x = 1,564.82 × 395.03
  4. Step 4: Simplify right side
    1,043.84x = 618,143.27
  5. Step 5: Solve for x
    x = 618,143.27/1,043.84
  6. Step 6: Final answer
    x = 592.18

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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.