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Finding the Fourth Proportional to 945.65, 1,417.68 and 451.78

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Solution

The fourth proportional to 945.65, 1,417.68 and 451.78 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.65 : 1,417.68 = 451.78 : x
  2. Step 2: Convert to fraction form
    945.65/1,417.68 = 451.78/x
  3. Step 3: Cross multiply
    945.65x = 1,417.68 × 451.78
  4. Step 4: Simplify right side
    945.65x = 640,474.66
  5. Step 5: Solve for x
    x = 640,474.66/945.65
  6. Step 6: Final answer
    x = 677.29

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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.