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Finding the Fourth Proportional to 946.19, 1,419.59 and 484.09

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Solution

The fourth proportional to 946.19, 1,419.59 and 484.09 is: 726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.19 : 1,419.59 = 484.09 : x
  2. Step 2: Convert to fraction form
    946.19/1,419.59 = 484.09/x
  3. Step 3: Cross multiply
    946.19x = 1,419.59 × 484.09
  4. Step 4: Simplify right side
    946.19x = 687,209.32
  5. Step 5: Solve for x
    x = 687,209.32/946.19
  6. Step 6: Final answer
    x = 726.29

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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.