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Finding the Fourth Proportional to 678.50, 1,011.58 and 637.19

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Solution

The fourth proportional to 678.50, 1,011.58 and 637.19 is: 949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.50 : 1,011.58 = 637.19 : x
  2. Step 2: Convert to fraction form
    678.50/1,011.58 = 637.19/x
  3. Step 3: Cross multiply
    678.50x = 1,011.58 × 637.19
  4. Step 4: Simplify right side
    678.50x = 644,568.66
  5. Step 5: Solve for x
    x = 644,568.66/678.50
  6. Step 6: Final answer
    x = 949.99

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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.