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Finding the Fourth Proportional to 656.49, 985.08 and 451.23

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Solution

The fourth proportional to 656.49, 985.08 and 451.23 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.49 : 985.08 = 451.23 : x
  2. Step 2: Convert to fraction form
    656.49/985.08 = 451.23/x
  3. Step 3: Cross multiply
    656.49x = 985.08 × 451.23
  4. Step 4: Simplify right side
    656.49x = 444,497.65
  5. Step 5: Solve for x
    x = 444,497.65/656.49
  6. Step 6: Final answer
    x = 677.08

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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.