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Finding the Fourth Proportional to 707.35, 1,060.51 and 475.67

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Solution

The fourth proportional to 707.35, 1,060.51 and 475.67 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.35 : 1,060.51 = 475.67 : x
  2. Step 2: Convert to fraction form
    707.35/1,060.51 = 475.67/x
  3. Step 3: Cross multiply
    707.35x = 1,060.51 × 475.67
  4. Step 4: Simplify right side
    707.35x = 504,448.08
  5. Step 5: Solve for x
    x = 504,448.08/707.35
  6. Step 6: Final answer
    x = 713.15

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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.