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Finding the Fourth Proportional to 706.84, 976.18 and 486.36

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Solution

The fourth proportional to 706.84, 976.18 and 486.36 is: 671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.84 : 976.18 = 486.36 : x
  2. Step 2: Convert to fraction form
    706.84/976.18 = 486.36/x
  3. Step 3: Cross multiply
    706.84x = 976.18 × 486.36
  4. Step 4: Simplify right side
    706.84x = 474,774.90
  5. Step 5: Solve for x
    x = 474,774.90/706.84
  6. Step 6: Final answer
    x = 671.69

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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.