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Finding the Fourth Proportional to 817.25, 1,127.03 and 522

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Solution

The fourth proportional to 817.25, 1,127.03 and 522 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.25 : 1,127.03 = 522 : x
  2. Step 2: Convert to fraction form
    817.25/1,127.03 = 522/x
  3. Step 3: Cross multiply
    817.25x = 1,127.03 × 522
  4. Step 4: Simplify right side
    817.25x = 588,307.05
  5. Step 5: Solve for x
    x = 588,307.05/817.25
  6. Step 6: Final answer
    x = 719.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.