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Finding the Fourth Proportional to 707.70, 976.63 and 428.12

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Solution

The fourth proportional to 707.70, 976.63 and 428.12 is: 590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.70 : 976.63 = 428.12 : x
  2. Step 2: Convert to fraction form
    707.70/976.63 = 428.12/x
  3. Step 3: Cross multiply
    707.70x = 976.63 × 428.12
  4. Step 4: Simplify right side
    707.70x = 418,113.35
  5. Step 5: Solve for x
    x = 418,113.35/707.70
  6. Step 6: Final answer
    x = 590.81

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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.