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Finding the Fourth Proportional to 714.86, 986.68 and 420.22

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Solution

The fourth proportional to 714.86, 986.68 and 420.22 is: 580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.86 : 986.68 = 420.22 : x
  2. Step 2: Convert to fraction form
    714.86/986.68 = 420.22/x
  3. Step 3: Cross multiply
    714.86x = 986.68 × 420.22
  4. Step 4: Simplify right side
    714.86x = 414,624.43
  5. Step 5: Solve for x
    x = 414,624.43/714.86
  6. Step 6: Final answer
    x = 580.01

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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.