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Finding the Fourth Proportional to 703.69, 1,053.24 and 529.27

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Solution

The fourth proportional to 703.69, 1,053.24 and 529.27 is: 792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,053.24 = 529.27 : x
  2. Step 2: Convert to fraction form
    703.69/1,053.24 = 529.27/x
  3. Step 3: Cross multiply
    703.69x = 1,053.24 × 529.27
  4. Step 4: Simplify right side
    703.69x = 557,448.33
  5. Step 5: Solve for x
    x = 557,448.33/703.69
  6. Step 6: Final answer
    x = 792.18

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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.