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Finding the Fourth Proportional to 678.98, 1,013.55 and 628.25

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Solution

The fourth proportional to 678.98, 1,013.55 and 628.25 is: 937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 1,013.55 = 628.25 : x
  2. Step 2: Convert to fraction form
    678.98/1,013.55 = 628.25/x
  3. Step 3: Cross multiply
    678.98x = 1,013.55 × 628.25
  4. Step 4: Simplify right side
    678.98x = 636,762.79
  5. Step 5: Solve for x
    x = 636,762.79/678.98
  6. Step 6: Final answer
    x = 937.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.