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Finding the Fourth Proportional to 707.23, 1,059.24 and 432.85

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Solution

The fourth proportional to 707.23, 1,059.24 and 432.85 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.23 : 1,059.24 = 432.85 : x
  2. Step 2: Convert to fraction form
    707.23/1,059.24 = 432.85/x
  3. Step 3: Cross multiply
    707.23x = 1,059.24 × 432.85
  4. Step 4: Simplify right side
    707.23x = 458,492.03
  5. Step 5: Solve for x
    x = 458,492.03/707.23
  6. Step 6: Final answer
    x = 648.29

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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.