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Finding the Fourth Proportional to 707.30, 1,059.60 and 398.22

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Solution

The fourth proportional to 707.30, 1,059.60 and 398.22 is: 596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.30 : 1,059.60 = 398.22 : x
  2. Step 2: Convert to fraction form
    707.30/1,059.60 = 398.22/x
  3. Step 3: Cross multiply
    707.30x = 1,059.60 × 398.22
  4. Step 4: Simplify right side
    707.30x = 421,953.91
  5. Step 5: Solve for x
    x = 421,953.91/707.30
  6. Step 6: Final answer
    x = 596.57

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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.