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Finding the Fourth Proportional to 714.66, 986.07 and 419.85

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Solution

The fourth proportional to 714.66, 986.07 and 419.85 is: 579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 986.07 = 419.85 : x
  2. Step 2: Convert to fraction form
    714.66/986.07 = 419.85/x
  3. Step 3: Cross multiply
    714.66x = 986.07 × 419.85
  4. Step 4: Simplify right side
    714.66x = 414,001.49
  5. Step 5: Solve for x
    x = 414,001.49/714.66
  6. Step 6: Final answer
    x = 579.30

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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.