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Finding the Fourth Proportional to 1,274.55, 1,909.08 and 883.41

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Solution

The fourth proportional to 1,274.55, 1,909.08 and 883.41 is: 1,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.55 : 1,909.08 = 883.41 : x
  2. Step 2: Convert to fraction form
    1,274.55/1,909.08 = 883.41/x
  3. Step 3: Cross multiply
    1,274.55x = 1,909.08 × 883.41
  4. Step 4: Simplify right side
    1,274.55x = 1,686,500.36
  5. Step 5: Solve for x
    x = 1,686,500.36/1,274.55
  6. Step 6: Final answer
    x = 1,323.21

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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.