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Finding the Fourth Proportional to 707.81, 1,061.83 and 296.84

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Solution

The fourth proportional to 707.81, 1,061.83 and 296.84 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.81 : 1,061.83 = 296.84 : x
  2. Step 2: Convert to fraction form
    707.81/1,061.83 = 296.84/x
  3. Step 3: Cross multiply
    707.81x = 1,061.83 × 296.84
  4. Step 4: Simplify right side
    707.81x = 315,194.49
  5. Step 5: Solve for x
    x = 315,194.49/707.81
  6. Step 6: Final answer
    x = 445.31

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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.