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Finding the Fourth Proportional to 707.59, 1,060.26 and 475.63

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Solution

The fourth proportional to 707.59, 1,060.26 and 475.63 is: 712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 1,060.26 = 475.63 : x
  2. Step 2: Convert to fraction form
    707.59/1,060.26 = 475.63/x
  3. Step 3: Cross multiply
    707.59x = 1,060.26 × 475.63
  4. Step 4: Simplify right side
    707.59x = 504,291.46
  5. Step 5: Solve for x
    x = 504,291.46/707.59
  6. Step 6: Final answer
    x = 712.69

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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.