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Finding the Fourth Proportional to 1,304.01, 1,953.41 and 892.14

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Solution

The fourth proportional to 1,304.01, 1,953.41 and 892.14 is: 1,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.01 : 1,953.41 = 892.14 : x
  2. Step 2: Convert to fraction form
    1,304.01/1,953.41 = 892.14/x
  3. Step 3: Cross multiply
    1,304.01x = 1,953.41 × 892.14
  4. Step 4: Simplify right side
    1,304.01x = 1,742,710.74
  5. Step 5: Solve for x
    x = 1,742,710.74/1,304.01
  6. Step 6: Final answer
    x = 1,336.42

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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.