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Finding the Fourth Proportional to 714.60, 986.04 and 419.96

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Solution

The fourth proportional to 714.60, 986.04 and 419.96 is: 579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 986.04 = 419.96 : x
  2. Step 2: Convert to fraction form
    714.60/986.04 = 419.96/x
  3. Step 3: Cross multiply
    714.60x = 986.04 × 419.96
  4. Step 4: Simplify right side
    714.60x = 414,101.40
  5. Step 5: Solve for x
    x = 414,101.40/714.60
  6. Step 6: Final answer
    x = 579.49

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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.