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Finding the Fourth Proportional to 705.94, 971.46 and 539.48

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Solution

The fourth proportional to 705.94, 971.46 and 539.48 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 971.46 = 539.48 : x
  2. Step 2: Convert to fraction form
    705.94/971.46 = 539.48/x
  3. Step 3: Cross multiply
    705.94x = 971.46 × 539.48
  4. Step 4: Simplify right side
    705.94x = 524,085.67
  5. Step 5: Solve for x
    x = 524,085.67/705.94
  6. Step 6: Final answer
    x = 742.40

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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.