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Finding the Fourth Proportional to 729.66, 1,007.34 and 505.92

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Solution

The fourth proportional to 729.66, 1,007.34 and 505.92 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.66 : 1,007.34 = 505.92 : x
  2. Step 2: Convert to fraction form
    729.66/1,007.34 = 505.92/x
  3. Step 3: Cross multiply
    729.66x = 1,007.34 × 505.92
  4. Step 4: Simplify right side
    729.66x = 509,633.45
  5. Step 5: Solve for x
    x = 509,633.45/729.66
  6. Step 6: Final answer
    x = 698.45

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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.