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Finding the Fourth Proportional to 913.64, 1,369.50 and 656.36

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Solution

The fourth proportional to 913.64, 1,369.50 and 656.36 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,369.50 = 656.36 : x
  2. Step 2: Convert to fraction form
    913.64/1,369.50 = 656.36/x
  3. Step 3: Cross multiply
    913.64x = 1,369.50 × 656.36
  4. Step 4: Simplify right side
    913.64x = 898,885.02
  5. Step 5: Solve for x
    x = 898,885.02/913.64
  6. Step 6: Final answer
    x = 983.85

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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.