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Finding the Fourth Proportional to 678.80, 1,011.44 and 606.11

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Solution

The fourth proportional to 678.80, 1,011.44 and 606.11 is: 903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 1,011.44 = 606.11 : x
  2. Step 2: Convert to fraction form
    678.80/1,011.44 = 606.11/x
  3. Step 3: Cross multiply
    678.80x = 1,011.44 × 606.11
  4. Step 4: Simplify right side
    678.80x = 613,040.36
  5. Step 5: Solve for x
    x = 613,040.36/678.80
  6. Step 6: Final answer
    x = 903.12

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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.