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Finding the Fourth Proportional to 678.75, 1,018.13 and 462.21

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Solution

The fourth proportional to 678.75, 1,018.13 and 462.21 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 1,018.13 = 462.21 : x
  2. Step 2: Convert to fraction form
    678.75/1,018.13 = 462.21/x
  3. Step 3: Cross multiply
    678.75x = 1,018.13 × 462.21
  4. Step 4: Simplify right side
    678.75x = 470,587.56
  5. Step 5: Solve for x
    x = 470,587.56/678.75
  6. Step 6: Final answer
    x = 693.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.