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Finding the Fourth Proportional to 706.35, 1,059.56 and 521.47

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Solution

The fourth proportional to 706.35, 1,059.56 and 521.47 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.35 : 1,059.56 = 521.47 : x
  2. Step 2: Convert to fraction form
    706.35/1,059.56 = 521.47/x
  3. Step 3: Cross multiply
    706.35x = 1,059.56 × 521.47
  4. Step 4: Simplify right side
    706.35x = 552,528.75
  5. Step 5: Solve for x
    x = 552,528.75/706.35
  6. Step 6: Final answer
    x = 782.23

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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.