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Finding the Fourth Proportional to 707.05, 976.35 and 588.97

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Solution

The fourth proportional to 707.05, 976.35 and 588.97 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.05 : 976.35 = 588.97 : x
  2. Step 2: Convert to fraction form
    707.05/976.35 = 588.97/x
  3. Step 3: Cross multiply
    707.05x = 976.35 × 588.97
  4. Step 4: Simplify right side
    707.05x = 575,037.91
  5. Step 5: Solve for x
    x = 575,037.91/707.05
  6. Step 6: Final answer
    x = 813.29

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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.