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Finding the Fourth Proportional to 729.92, 1,094.88 and 388.16

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Solution

The fourth proportional to 729.92, 1,094.88 and 388.16 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.92 : 1,094.88 = 388.16 : x
  2. Step 2: Convert to fraction form
    729.92/1,094.88 = 388.16/x
  3. Step 3: Cross multiply
    729.92x = 1,094.88 × 388.16
  4. Step 4: Simplify right side
    729.92x = 424,988.62
  5. Step 5: Solve for x
    x = 424,988.62/729.92
  6. Step 6: Final answer
    x = 582.24

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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.