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Finding the Fourth Proportional to 934.73, 1,289.16 and 655.17

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Solution

The fourth proportional to 934.73, 1,289.16 and 655.17 is: 903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.73 : 1,289.16 = 655.17 : x
  2. Step 2: Convert to fraction form
    934.73/1,289.16 = 655.17/x
  3. Step 3: Cross multiply
    934.73x = 1,289.16 × 655.17
  4. Step 4: Simplify right side
    934.73x = 844,618.96
  5. Step 5: Solve for x
    x = 844,618.96/934.73
  6. Step 6: Final answer
    x = 903.60

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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.