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Finding the Fourth Proportional to 714, 985.62 and 451.98

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Solution

The fourth proportional to 714, 985.62 and 451.98 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 985.62 = 451.98 : x
  2. Step 2: Convert to fraction form
    714/985.62 = 451.98/x
  3. Step 3: Cross multiply
    714x = 985.62 × 451.98
  4. Step 4: Simplify right side
    714x = 445,480.53
  5. Step 5: Solve for x
    x = 445,480.53/714
  6. Step 6: Final answer
    x = 623.92

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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.