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Finding the Fourth Proportional to 705.40, 971.46 and 549.88

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Solution

The fourth proportional to 705.40, 971.46 and 549.88 is: 757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 971.46 = 549.88 : x
  2. Step 2: Convert to fraction form
    705.40/971.46 = 549.88/x
  3. Step 3: Cross multiply
    705.40x = 971.46 × 549.88
  4. Step 4: Simplify right side
    705.40x = 534,186.42
  5. Step 5: Solve for x
    x = 534,186.42/705.40
  6. Step 6: Final answer
    x = 757.28

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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.