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Finding the Fourth Proportional to 707.43, 1,059.48 and 463.26

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Solution

The fourth proportional to 707.43, 1,059.48 and 463.26 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 1,059.48 = 463.26 : x
  2. Step 2: Convert to fraction form
    707.43/1,059.48 = 463.26/x
  3. Step 3: Cross multiply
    707.43x = 1,059.48 × 463.26
  4. Step 4: Simplify right side
    707.43x = 490,814.70
  5. Step 5: Solve for x
    x = 490,814.70/707.43
  6. Step 6: Final answer
    x = 693.80

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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.