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Finding the Fourth Proportional to 1,043.14, 1,563.99 and 522.58

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Solution

The fourth proportional to 1,043.14, 1,563.99 and 522.58 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.14 : 1,563.99 = 522.58 : x
  2. Step 2: Convert to fraction form
    1,043.14/1,563.99 = 522.58/x
  3. Step 3: Cross multiply
    1,043.14x = 1,563.99 × 522.58
  4. Step 4: Simplify right side
    1,043.14x = 817,309.89
  5. Step 5: Solve for x
    x = 817,309.89/1,043.14
  6. Step 6: Final answer
    x = 783.51

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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.