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Finding the Fourth Proportional to 929.80, 1,394.70 and 416.44

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Solution

The fourth proportional to 929.80, 1,394.70 and 416.44 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.80 : 1,394.70 = 416.44 : x
  2. Step 2: Convert to fraction form
    929.80/1,394.70 = 416.44/x
  3. Step 3: Cross multiply
    929.80x = 1,394.70 × 416.44
  4. Step 4: Simplify right side
    929.80x = 580,808.87
  5. Step 5: Solve for x
    x = 580,808.87/929.80
  6. Step 6: Final answer
    x = 624.66

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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.