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Finding the Fourth Proportional to 934.19, 1,289.25 and 561.17

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Solution

The fourth proportional to 934.19, 1,289.25 and 561.17 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.19 : 1,289.25 = 561.17 : x
  2. Step 2: Convert to fraction form
    934.19/1,289.25 = 561.17/x
  3. Step 3: Cross multiply
    934.19x = 1,289.25 × 561.17
  4. Step 4: Simplify right side
    934.19x = 723,481.98
  5. Step 5: Solve for x
    x = 723,481.98/934.19
  6. Step 6: Final answer
    x = 774.45

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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.