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Finding the Fourth Proportional to 714.68, 986.42 and 452.84

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Solution

The fourth proportional to 714.68, 986.42 and 452.84 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.68 : 986.42 = 452.84 : x
  2. Step 2: Convert to fraction form
    714.68/986.42 = 452.84/x
  3. Step 3: Cross multiply
    714.68x = 986.42 × 452.84
  4. Step 4: Simplify right side
    714.68x = 446,690.43
  5. Step 5: Solve for x
    x = 446,690.43/714.68
  6. Step 6: Final answer
    x = 625.02

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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.