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Finding the Fourth Proportional to 730.32, 1,095.22 and 524.27

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Solution

The fourth proportional to 730.32, 1,095.22 and 524.27 is: 786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.32 : 1,095.22 = 524.27 : x
  2. Step 2: Convert to fraction form
    730.32/1,095.22 = 524.27/x
  3. Step 3: Cross multiply
    730.32x = 1,095.22 × 524.27
  4. Step 4: Simplify right side
    730.32x = 574,194.38
  5. Step 5: Solve for x
    x = 574,194.38/730.32
  6. Step 6: Final answer
    x = 786.23

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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.