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Finding the Fourth Proportional to 929.70, 1,394.78 and 409.75

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Solution

The fourth proportional to 929.70, 1,394.78 and 409.75 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.70 : 1,394.78 = 409.75 : x
  2. Step 2: Convert to fraction form
    929.70/1,394.78 = 409.75/x
  3. Step 3: Cross multiply
    929.70x = 1,394.78 × 409.75
  4. Step 4: Simplify right side
    929.70x = 571,511.11
  5. Step 5: Solve for x
    x = 571,511.11/929.70
  6. Step 6: Final answer
    x = 614.73

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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.