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Finding the Fourth Proportional to 939.47, 1,409.54 and 477.36

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Solution

The fourth proportional to 939.47, 1,409.54 and 477.36 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.47 : 1,409.54 = 477.36 : x
  2. Step 2: Convert to fraction form
    939.47/1,409.54 = 477.36/x
  3. Step 3: Cross multiply
    939.47x = 1,409.54 × 477.36
  4. Step 4: Simplify right side
    939.47x = 672,855.63
  5. Step 5: Solve for x
    x = 672,855.63/939.47
  6. Step 6: Final answer
    x = 716.21

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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.