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Finding the Fourth Proportional to 678.14, 1,017.66 and 447.14

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Solution

The fourth proportional to 678.14, 1,017.66 and 447.14 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 1,017.66 = 447.14 : x
  2. Step 2: Convert to fraction form
    678.14/1,017.66 = 447.14/x
  3. Step 3: Cross multiply
    678.14x = 1,017.66 × 447.14
  4. Step 4: Simplify right side
    678.14x = 455,036.49
  5. Step 5: Solve for x
    x = 455,036.49/678.14
  6. Step 6: Final answer
    x = 671.01

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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.