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Finding the Fourth Proportional to 1,274.02, 1,909.71 and 656.34

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Solution

The fourth proportional to 1,274.02, 1,909.71 and 656.34 is: 983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.02 : 1,909.71 = 656.34 : x
  2. Step 2: Convert to fraction form
    1,274.02/1,909.71 = 656.34/x
  3. Step 3: Cross multiply
    1,274.02x = 1,909.71 × 656.34
  4. Step 4: Simplify right side
    1,274.02x = 1,253,419.06
  5. Step 5: Solve for x
    x = 1,253,419.06/1,274.02
  6. Step 6: Final answer
    x = 983.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.