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Finding the Fourth Proportional to 714.03, 986.19 and 477.58

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Solution

The fourth proportional to 714.03, 986.19 and 477.58 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.03 : 986.19 = 477.58 : x
  2. Step 2: Convert to fraction form
    714.03/986.19 = 477.58/x
  3. Step 3: Cross multiply
    714.03x = 986.19 × 477.58
  4. Step 4: Simplify right side
    714.03x = 470,982.15
  5. Step 5: Solve for x
    x = 470,982.15/714.03
  6. Step 6: Final answer
    x = 659.61

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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.