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Finding the Fourth Proportional to 1,043.31, 1,564.34 and 522.71

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Solution

The fourth proportional to 1,043.31, 1,564.34 and 522.71 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.31 : 1,564.34 = 522.71 : x
  2. Step 2: Convert to fraction form
    1,043.31/1,564.34 = 522.71/x
  3. Step 3: Cross multiply
    1,043.31x = 1,564.34 × 522.71
  4. Step 4: Simplify right side
    1,043.31x = 817,685.73
  5. Step 5: Solve for x
    x = 817,685.73/1,043.31
  6. Step 6: Final answer
    x = 783.74

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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.