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Finding the Fourth Proportional to 706.78, 972.97 and 607.96

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Solution

The fourth proportional to 706.78, 972.97 and 607.96 is: 836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 972.97 = 607.96 : x
  2. Step 2: Convert to fraction form
    706.78/972.97 = 607.96/x
  3. Step 3: Cross multiply
    706.78x = 972.97 × 607.96
  4. Step 4: Simplify right side
    706.78x = 591,526.84
  5. Step 5: Solve for x
    x = 591,526.84/706.78
  6. Step 6: Final answer
    x = 836.93

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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.