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Finding the Fourth Proportional to 919.07, 1,266.60 and 656.63

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Solution

The fourth proportional to 919.07, 1,266.60 and 656.63 is: 904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.07 : 1,266.60 = 656.63 : x
  2. Step 2: Convert to fraction form
    919.07/1,266.60 = 656.63/x
  3. Step 3: Cross multiply
    919.07x = 1,266.60 × 656.63
  4. Step 4: Simplify right side
    919.07x = 831,687.56
  5. Step 5: Solve for x
    x = 831,687.56/919.07
  6. Step 6: Final answer
    x = 904.92

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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.