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Finding the Fourth Proportional to 929.72, 1,391.84 and 684.59

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Solution

The fourth proportional to 929.72, 1,391.84 and 684.59 is: 1,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.72 : 1,391.84 = 684.59 : x
  2. Step 2: Convert to fraction form
    929.72/1,391.84 = 684.59/x
  3. Step 3: Cross multiply
    929.72x = 1,391.84 × 684.59
  4. Step 4: Simplify right side
    929.72x = 952,839.75
  5. Step 5: Solve for x
    x = 952,839.75/929.72
  6. Step 6: Final answer
    x = 1,024.87

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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.