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Finding the Fourth Proportional to 714.94, 986.68 and 420.10

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Solution

The fourth proportional to 714.94, 986.68 and 420.10 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 986.68 = 420.10 : x
  2. Step 2: Convert to fraction form
    714.94/986.68 = 420.10/x
  3. Step 3: Cross multiply
    714.94x = 986.68 × 420.10
  4. Step 4: Simplify right side
    714.94x = 414,504.27
  5. Step 5: Solve for x
    x = 414,504.27/714.94
  6. Step 6: Final answer
    x = 579.77

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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.