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Finding the Fourth Proportional to 929.21, 1,393.98 and 381.78

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Solution

The fourth proportional to 929.21, 1,393.98 and 381.78 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.21 : 1,393.98 = 381.78 : x
  2. Step 2: Convert to fraction form
    929.21/1,393.98 = 381.78/x
  3. Step 3: Cross multiply
    929.21x = 1,393.98 × 381.78
  4. Step 4: Simplify right side
    929.21x = 532,192.25
  5. Step 5: Solve for x
    x = 532,192.25/929.21
  6. Step 6: Final answer
    x = 572.74

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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.