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Finding the Fourth Proportional to 1,103.70, 1,523.02 and 661.44

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Solution

The fourth proportional to 1,103.70, 1,523.02 and 661.44 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.70 : 1,523.02 = 661.44 : x
  2. Step 2: Convert to fraction form
    1,103.70/1,523.02 = 661.44/x
  3. Step 3: Cross multiply
    1,103.70x = 1,523.02 × 661.44
  4. Step 4: Simplify right side
    1,103.70x = 1,007,386.35
  5. Step 5: Solve for x
    x = 1,007,386.35/1,103.70
  6. Step 6: Final answer
    x = 912.74

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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.