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Finding the Fourth Proportional to 714.93, 986.49 and 453.30

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Solution

The fourth proportional to 714.93, 986.49 and 453.30 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 986.49 = 453.30 : x
  2. Step 2: Convert to fraction form
    714.93/986.49 = 453.30/x
  3. Step 3: Cross multiply
    714.93x = 986.49 × 453.30
  4. Step 4: Simplify right side
    714.93x = 447,175.92
  5. Step 5: Solve for x
    x = 447,175.92/714.93
  6. Step 6: Final answer
    x = 625.48

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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.