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Finding the Fourth Proportional to 714.69, 986.24 and 419.95

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Solution

The fourth proportional to 714.69, 986.24 and 419.95 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 986.24 = 419.95 : x
  2. Step 2: Convert to fraction form
    714.69/986.24 = 419.95/x
  3. Step 3: Cross multiply
    714.69x = 986.24 × 419.95
  4. Step 4: Simplify right side
    714.69x = 414,173.77
  5. Step 5: Solve for x
    x = 414,173.77/714.69
  6. Step 6: Final answer
    x = 579.52

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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.