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Finding the Fourth Proportional to 678.58, 1,011.06 and 605.82

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Solution

The fourth proportional to 678.58, 1,011.06 and 605.82 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.58 : 1,011.06 = 605.82 : x
  2. Step 2: Convert to fraction form
    678.58/1,011.06 = 605.82/x
  3. Step 3: Cross multiply
    678.58x = 1,011.06 × 605.82
  4. Step 4: Simplify right side
    678.58x = 612,520.37
  5. Step 5: Solve for x
    x = 612,520.37/678.58
  6. Step 6: Final answer
    x = 902.65

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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.