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Finding the Fourth Proportional to 1,304.56, 1,954.92 and 646.24

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Solution

The fourth proportional to 1,304.56, 1,954.92 and 646.24 is: 968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.56 : 1,954.92 = 646.24 : x
  2. Step 2: Convert to fraction form
    1,304.56/1,954.92 = 646.24/x
  3. Step 3: Cross multiply
    1,304.56x = 1,954.92 × 646.24
  4. Step 4: Simplify right side
    1,304.56x = 1,263,347.50
  5. Step 5: Solve for x
    x = 1,263,347.50/1,304.56
  6. Step 6: Final answer
    x = 968.41

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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.