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Finding the Fourth Proportional to 714.64, 986.16 and 452.74

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Solution

The fourth proportional to 714.64, 986.16 and 452.74 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 986.16 = 452.74 : x
  2. Step 2: Convert to fraction form
    714.64/986.16 = 452.74/x
  3. Step 3: Cross multiply
    714.64x = 986.16 × 452.74
  4. Step 4: Simplify right side
    714.64x = 446,474.08
  5. Step 5: Solve for x
    x = 446,474.08/714.64
  6. Step 6: Final answer
    x = 624.75

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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.