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Finding the Fourth Proportional to 707.82, 976.82 and 428

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Solution

The fourth proportional to 707.82, 976.82 and 428 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 976.82 = 428 : x
  2. Step 2: Convert to fraction form
    707.82/976.82 = 428/x
  3. Step 3: Cross multiply
    707.82x = 976.82 × 428
  4. Step 4: Simplify right side
    707.82x = 418,078.96
  5. Step 5: Solve for x
    x = 418,078.96/707.82
  6. Step 6: Final answer
    x = 590.66

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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.