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Finding the Fourth Proportional to 945, 1,416.94 and 286.68

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Solution

The fourth proportional to 945, 1,416.94 and 286.68 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,416.94 = 286.68 : x
  2. Step 2: Convert to fraction form
    945/1,416.94 = 286.68/x
  3. Step 3: Cross multiply
    945x = 1,416.94 × 286.68
  4. Step 4: Simplify right side
    945x = 406,208.36
  5. Step 5: Solve for x
    x = 406,208.36/945
  6. Step 6: Final answer
    x = 429.85

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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.