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Finding the Fourth Proportional to 945.81, 1,419.59 and 483.91

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Solution

The fourth proportional to 945.81, 1,419.59 and 483.91 is: 726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,419.59 = 483.91 : x
  2. Step 2: Convert to fraction form
    945.81/1,419.59 = 483.91/x
  3. Step 3: Cross multiply
    945.81x = 1,419.59 × 483.91
  4. Step 4: Simplify right side
    945.81x = 686,951.46
  5. Step 5: Solve for x
    x = 686,951.46/945.81
  6. Step 6: Final answer
    x = 726.31

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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.