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Finding the Fourth Proportional to 945.90, 1,419.71 and 484.00

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Solution

The fourth proportional to 945.90, 1,419.71 and 484.00 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,419.71 = 484.00 : x
  2. Step 2: Convert to fraction form
    945.90/1,419.71 = 484.00/x
  3. Step 3: Cross multiply
    945.90x = 1,419.71 × 484.00
  4. Step 4: Simplify right side
    945.90x = 687,130.12
  5. Step 5: Solve for x
    x = 687,130.12/945.90
  6. Step 6: Final answer
    x = 726.43

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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.