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Finding the Fourth Proportional to 1,455.63, 2,008.81 and 896.42

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Solution

The fourth proportional to 1,455.63, 2,008.81 and 896.42 is: 1,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.63 : 2,008.81 = 896.42 : x
  2. Step 2: Convert to fraction form
    1,455.63/2,008.81 = 896.42/x
  3. Step 3: Cross multiply
    1,455.63x = 2,008.81 × 896.42
  4. Step 4: Simplify right side
    1,455.63x = 1,800,740.24
  5. Step 5: Solve for x
    x = 1,800,740.24/1,455.63
  6. Step 6: Final answer
    x = 1,237.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.