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Finding the Fourth Proportional to 707.12, 1,059.60 and 432.83

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Solution

The fourth proportional to 707.12, 1,059.60 and 432.83 is: 648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.12 : 1,059.60 = 432.83 : x
  2. Step 2: Convert to fraction form
    707.12/1,059.60 = 432.83/x
  3. Step 3: Cross multiply
    707.12x = 1,059.60 × 432.83
  4. Step 4: Simplify right side
    707.12x = 458,621.37
  5. Step 5: Solve for x
    x = 458,621.37/707.12
  6. Step 6: Final answer
    x = 648.58

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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.