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Finding the Fourth Proportional to 678.51, 1,018.08 and 447.30

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Solution

The fourth proportional to 678.51, 1,018.08 and 447.30 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 1,018.08 = 447.30 : x
  2. Step 2: Convert to fraction form
    678.51/1,018.08 = 447.30/x
  3. Step 3: Cross multiply
    678.51x = 1,018.08 × 447.30
  4. Step 4: Simplify right side
    678.51x = 455,387.18
  5. Step 5: Solve for x
    x = 455,387.18/678.51
  6. Step 6: Final answer
    x = 671.16

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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.