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Finding the Fourth Proportional to 707.72, 1,059.96 and 491.45

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Solution

The fourth proportional to 707.72, 1,059.96 and 491.45 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.72 : 1,059.96 = 491.45 : x
  2. Step 2: Convert to fraction form
    707.72/1,059.96 = 491.45/x
  3. Step 3: Cross multiply
    707.72x = 1,059.96 × 491.45
  4. Step 4: Simplify right side
    707.72x = 520,917.34
  5. Step 5: Solve for x
    x = 520,917.34/707.72
  6. Step 6: Final answer
    x = 736.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.