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Finding the Fourth Proportional to 729.44, 1,005.72 and 589.04

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Solution

The fourth proportional to 729.44, 1,005.72 and 589.04 is: 812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,005.72 = 589.04 : x
  2. Step 2: Convert to fraction form
    729.44/1,005.72 = 589.04/x
  3. Step 3: Cross multiply
    729.44x = 1,005.72 × 589.04
  4. Step 4: Simplify right side
    729.44x = 592,409.31
  5. Step 5: Solve for x
    x = 592,409.31/729.44
  6. Step 6: Final answer
    x = 812.14

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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.