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Finding the Fourth Proportional to 729.59, 1,006.39 and 480.81

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Solution

The fourth proportional to 729.59, 1,006.39 and 480.81 is: 663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,006.39 = 480.81 : x
  2. Step 2: Convert to fraction form
    729.59/1,006.39 = 480.81/x
  3. Step 3: Cross multiply
    729.59x = 1,006.39 × 480.81
  4. Step 4: Simplify right side
    729.59x = 483,886.75
  5. Step 5: Solve for x
    x = 483,886.75/729.59
  6. Step 6: Final answer
    x = 663.24

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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.