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Finding the Fourth Proportional to 768.37, 1,146.62 and 686.35

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Solution

The fourth proportional to 768.37, 1,146.62 and 686.35 is: 1,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.37 : 1,146.62 = 686.35 : x
  2. Step 2: Convert to fraction form
    768.37/1,146.62 = 686.35/x
  3. Step 3: Cross multiply
    768.37x = 1,146.62 × 686.35
  4. Step 4: Simplify right side
    768.37x = 786,982.64
  5. Step 5: Solve for x
    x = 786,982.64/768.37
  6. Step 6: Final answer
    x = 1,024.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.