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Finding the Fourth Proportional to 945, 1,418.04 and 432

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Solution

The fourth proportional to 945, 1,418.04 and 432 is: 648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,418.04 = 432 : x
  2. Step 2: Convert to fraction form
    945/1,418.04 = 432/x
  3. Step 3: Cross multiply
    945x = 1,418.04 × 432
  4. Step 4: Simplify right side
    945x = 612,593.28
  5. Step 5: Solve for x
    x = 612,593.28/945
  6. Step 6: Final answer
    x = 648.25

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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.