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Finding the Fourth Proportional to 707.56, 976.50 and 445.56

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Solution

The fourth proportional to 707.56, 976.50 and 445.56 is: 614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.56 : 976.50 = 445.56 : x
  2. Step 2: Convert to fraction form
    707.56/976.50 = 445.56/x
  3. Step 3: Cross multiply
    707.56x = 976.50 × 445.56
  4. Step 4: Simplify right side
    707.56x = 435,089.34
  5. Step 5: Solve for x
    x = 435,089.34/707.56
  6. Step 6: Final answer
    x = 614.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.