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Finding the Fourth Proportional to 730.23, 1,007.24 and 505.77

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Solution

The fourth proportional to 730.23, 1,007.24 and 505.77 is: 697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,007.24 = 505.77 : x
  2. Step 2: Convert to fraction form
    730.23/1,007.24 = 505.77/x
  3. Step 3: Cross multiply
    730.23x = 1,007.24 × 505.77
  4. Step 4: Simplify right side
    730.23x = 509,431.77
  5. Step 5: Solve for x
    x = 509,431.77/730.23
  6. Step 6: Final answer
    x = 697.63

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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.