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Finding the Fourth Proportional to 1,123.44, 1,685.16 and 474.03

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Solution

The fourth proportional to 1,123.44, 1,685.16 and 474.03 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.44 : 1,685.16 = 474.03 : x
  2. Step 2: Convert to fraction form
    1,123.44/1,685.16 = 474.03/x
  3. Step 3: Cross multiply
    1,123.44x = 1,685.16 × 474.03
  4. Step 4: Simplify right side
    1,123.44x = 798,816.39
  5. Step 5: Solve for x
    x = 798,816.39/1,123.44
  6. Step 6: Final answer
    x = 711.05

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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.