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Finding the Fourth Proportional to 714.85, 986.96 and 549.92

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Solution

The fourth proportional to 714.85, 986.96 and 549.92 is: 759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 986.96 = 549.92 : x
  2. Step 2: Convert to fraction form
    714.85/986.96 = 549.92/x
  3. Step 3: Cross multiply
    714.85x = 986.96 × 549.92
  4. Step 4: Simplify right side
    714.85x = 542,752.89
  5. Step 5: Solve for x
    x = 542,752.89/714.85
  6. Step 6: Final answer
    x = 759.26

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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.