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Finding the Fourth Proportional to 1,304.21, 1,953.96 and 718.58

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Solution

The fourth proportional to 1,304.21, 1,953.96 and 718.58 is: 1,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.21 : 1,953.96 = 718.58 : x
  2. Step 2: Convert to fraction form
    1,304.21/1,953.96 = 718.58/x
  3. Step 3: Cross multiply
    1,304.21x = 1,953.96 × 718.58
  4. Step 4: Simplify right side
    1,304.21x = 1,404,076.58
  5. Step 5: Solve for x
    x = 1,404,076.58/1,304.21
  6. Step 6: Final answer
    x = 1,076.57

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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.