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Finding the Fourth Proportional to 678.34, 1,017.06 and 446.95

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Solution

The fourth proportional to 678.34, 1,017.06 and 446.95 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 1,017.06 = 446.95 : x
  2. Step 2: Convert to fraction form
    678.34/1,017.06 = 446.95/x
  3. Step 3: Cross multiply
    678.34x = 1,017.06 × 446.95
  4. Step 4: Simplify right side
    678.34x = 454,574.97
  5. Step 5: Solve for x
    x = 454,574.97/678.34
  6. Step 6: Final answer
    x = 670.13

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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.