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Finding the Fourth Proportional to 714.02, 986.73 and 580.97

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Solution

The fourth proportional to 714.02, 986.73 and 580.97 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 986.73 = 580.97 : x
  2. Step 2: Convert to fraction form
    714.02/986.73 = 580.97/x
  3. Step 3: Cross multiply
    714.02x = 986.73 × 580.97
  4. Step 4: Simplify right side
    714.02x = 573,260.53
  5. Step 5: Solve for x
    x = 573,260.53/714.02
  6. Step 6: Final answer
    x = 802.86

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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.