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Finding the Fourth Proportional to 1,416.42, 1,955.32 and 945.09

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Solution

The fourth proportional to 1,416.42, 1,955.32 and 945.09 is: 1,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.42 : 1,955.32 = 945.09 : x
  2. Step 2: Convert to fraction form
    1,416.42/1,955.32 = 945.09/x
  3. Step 3: Cross multiply
    1,416.42x = 1,955.32 × 945.09
  4. Step 4: Simplify right side
    1,416.42x = 1,847,951.02
  5. Step 5: Solve for x
    x = 1,847,951.02/1,416.42
  6. Step 6: Final answer
    x = 1,304.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.