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Finding the Fourth Proportional to 705.96, 972.10 and 558.12

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Solution

The fourth proportional to 705.96, 972.10 and 558.12 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 972.10 = 558.12 : x
  2. Step 2: Convert to fraction form
    705.96/972.10 = 558.12/x
  3. Step 3: Cross multiply
    705.96x = 972.10 × 558.12
  4. Step 4: Simplify right side
    705.96x = 542,548.45
  5. Step 5: Solve for x
    x = 542,548.45/705.96
  6. Step 6: Final answer
    x = 768.53

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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.